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Time, Speed & Distance · Question 67 of 71

Question 67

MediumOriginal question

A boat's downstream speed and upstream speed are in the ratio 5:35 : 3. If its speed in still water is 8 km/h, what is the speed of the stream?

Options for question 67

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Let downstream = 5k and upstream = 3k.

  2. Still water =5k+3k2=4k=8= \frac{5k + 3k}{2} = 4k = 8, so k=2k = 2.

  3. Stream =5k−3k2=k=2= \frac{5k - 3k}{2} = k = 2 km/h.

Worth noting

Check: downstream 10 and upstream 6 are in the ratio 5:35 : 3, as required.

Concept
Using a ratio of downstream and upstream speeds
Typical time
60 s
Your time
—
The rule this testsBoats and streams
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Ten questions from Time, Speed & Distance, at your own pace.

Practise this chapter →

Ten questions from Time, Speed & Distance, at your own pace.