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Time, Speed & Distance · Question 64 of 71

Question 64

MediumOriginal question

A boat's speed in still water is 8 km/h and the stream flows at 2 km/h. A round trip to a temple on the riverbank and back takes 8 hours in all. How far is the temple?

Options for question 64

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Upstream = 6 km/h, downstream = 10 km/h.

  2. d6+d10=8\frac{d}{6} + \frac{d}{10} = 8, so 5d+3d30=8\frac{5d + 3d}{30} = 8.

  3. 8d=2408d = 240, d=30d = 30 km.

Worth noting

60 km is the length of the whole round trip. 32 km wrongly assumes the boat moves at 8 km/h both ways.

Concept
Distance from the total time of a round trip on a river
Typical time
65 s
Your time
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The rule this testsBoats and streams
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