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Time, Speed & Distance · Question 69 of 71

Question 69

HardOriginal question

A boat's speed in still water is 20 km/h. Going 60 km upstream takes 1 hour 36 minutes longer than going 60 km downstream. What is the speed of the stream?

Options for question 69

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 1 h 36 min = 1.6 h. We need 6020−s−6020+s=1.6\frac{60}{20 - s} - \frac{60}{20 + s} = 1.6.

  2. Try s=5s = 5: 6015−6025=4−2.4=1.6\frac{60}{15} - \frac{60}{25} = 4 - 2.4 = 1.6. It fits.

  3. A slower stream gives a smaller gap (for s=4s = 4: 3.75−2.5=1.253.75 - 2.5 = 1.25 h), so 5 km/h is the only answer.

Worth noting

Writing 1 h 36 min as 1.36 h makes the equation impossible to satisfy neatly. Always convert minutes by dividing by 60.

Concept
Forming a time-difference equation on a river
Typical time
110 s
Your time
—
The rule this testsBoats and streams
Practise this chapter →

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

Practise this chapter →

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