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Boats & Streams, Pipes & Cisterns · Question 40 of 85

Question 40

HardOriginal question

A boat moves at 10 km/h in still water. It goes 48 km downstream and comes back in 10 hours in all. What is the speed of the stream?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 4810+s+4810−s=10\frac{48}{10 + s} + \frac{48}{10 - s} = 10, so 960100−s2=10\frac{960}{100 - s^2} = 10.

  2. 100−s2=96100 - s^2 = 96, so s=2s = 2 km/h. Check: 4+6=104 + 6 = 10 hours.

Worth noting

4 km/h is 100−96100 - 96 before taking the square root.

Concept
The stream's speed from a round trip
Typical time
120 s
Your time
—
The rule this testsJourneys on a river
Practise this chapter →

Ten questions from Boats & Streams, Pipes & Cisterns, at your own pace.

Practise this chapter →

Ten questions from Boats & Streams, Pipes & Cisterns, at your own pace.