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🛶 SSC CGL, CHSL

Boats and Streams — formula, example and practice

Downstream = u+v, upstream = u−v. Do not swap still-water and current.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

Downstream = u+v · Upstream = u−v · u = (down+up)/2 · v = (down−up)/2

u is speed in still water, v is current.

What you should learn here

If time upstream and downstream are given for the same distance, you can solve for u and v directly from the two equations.

Worked example

Question. Downstream 15 km/h, upstream 9 km/h. Find still-water and current.

Solution. u = 12 km/h, v = 3 km/h.

Common mistake. Using u−v for downstream.

When to use the shortcut. Never apply boat formulas to ordinary road TSD.

Related chapters and tests

Time, Speed and Distance Simple Interest Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks

150 important Boats and Streams questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 2नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 3नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 4नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 5नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 6नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 7नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 8नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 9नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 10नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 11नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 12नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 13नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 14नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 15नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 16नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 17नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 18नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 19नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 20नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 21नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 22नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 23नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 24नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 25नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 26नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 27नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 28नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 29नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 30नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 31नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 32नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 33नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 34नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 35नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 36नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 37नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 38नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 39नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 40नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 41नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 42नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 43नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 44नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 45नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 46नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 47नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 48नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 49नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 50नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 51नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 52नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 53नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 54नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 55नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 56नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 57नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 58नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 59नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 60नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 61नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 62नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 63नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 64नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 65नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 66नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 67नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 68नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 69नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 70नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 71नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 72नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 73नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 74नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 75नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 76नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 77नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 78नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 79नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 80नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 81नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 82नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 83नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 84नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 85नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 86नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 87नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 88नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 89नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 90नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 91नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 92नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 93नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 94नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 95नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 96नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 97नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 98नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 99नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 100नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 101नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 102नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 103नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 104नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 105नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 106नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 107नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 108नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 109नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 110नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 111नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 112नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 113नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 114नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 115नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 116नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 117नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 118नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 119नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 120नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 121नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 122नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 123नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 124नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 125नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 126नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 127नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 128नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 129नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 130नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 131नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 132नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 133नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 134नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 135नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 136नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 137नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 138नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 139नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 140नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 141नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 142नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 143नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 144नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

Q. 145नाव

Still water 8 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 10.

Q. 146नाव

Still water 10 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: C

u−v = 7.

Q. 147नाव

Downstream speed 16 km/h. Time to cover 64 km downstream (hours)

Answer / solution

Correct option: A

t = d/speed = 4 h.

Q. 148नाव

Still water 14 km/h, current 2 km/h. Downstream speed is

Answer / solution

Correct option: B

u+v = 16.

Q. 149नाव

Still water 16 km/h, current 3 km/h. Upstream speed is

Answer / solution

Correct option: B

u−v = 13.

Q. 150नाव

Downstream speed 22 km/h. Time to cover 88 km downstream (hours)

Answer / solution

Correct option: D

t = d/speed = 4 h.

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