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Boats & Streams, Pipes & Cisterns · Question 26 of 85

Question 26

MediumOriginal question

A boat takes 3 hours to go 36 km downstream and 6 hours to come back. How long would it take to go 36 km in still water?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Downstream 363=12\frac{36}{3} = 12 km/h, upstream 366=6\frac{36}{6} = 6 km/h, so still water 12+62=9\frac{12 + 6}{2} = 9 km/h.

  2. 369=4\frac{36}{9} = 4 hours.

Worth noting

4.5 hours averages the two times, 3 and 6; it is the speeds that average.

Concept
The still-water time from two journeys
Typical time
90 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.