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Boats & Streams, Pipes & Cisterns · Question 41 of 85

Question 41

HardOriginal question

A man rows at 5 km/h in still water, and the river flows at 1 km/h. It takes him 5 hours to row to a place and back. How far away is the place?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Downstream 6 km/h, upstream 4 km/h: d6+d4=5\frac{d}{6} + \frac{d}{4} = 5.

  2. 5d12=5\frac{5d}{12} = 5, so d=12d = 12 km.

Worth noting

12.5 km treats the water as still, 5×5÷25 \times 5 \div 2.

Concept
The distance 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.