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Boats & Streams, Pipes & Cisterns · Question 39 of 85

Question 39

HardOriginal question

A boat goes 21 km downstream in the same time as it goes 15 km upstream. The stream flows at 2 km/h. What is the boat's speed in still water?

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Equal times: 21b+2=15b−2\frac{21}{b + 2} = \frac{15}{b - 2}.

  2. 21b−42=15b+3021b - 42 = 15b + 30, so 6b=726b = 72 and b=12b = 12 km/h.

Worth noting

Check by putting it back: at 12 km/h both trips take 1.5 hours.

Concept
Equal times for different distances
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.