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Boats & Streams, Pipes & Cisterns · Question 37 of 85

Question 37

HardOriginal question

A boat moves at 12 km/h in still water in a stream flowing at 4 km/h. What is its average speed for a trip downstream and back over the same distance?

Options for question 37

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Downstream 16 km/h, upstream 8 km/h. Over equal distances the average speed is 2×16×816+8\frac{2 \times 16 \times 8}{16 + 8}.

  2. =25624=323= \frac{256}{24} = \frac{32}{3} km/h, about 10.7 km/h.

Worth noting

12 km/h averages 16 and 8, but the boat spends twice as long at 8 km/h.

Concept
The average speed of 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.