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Time, Speed & Distance · Question 32 of 71

Question 32

MediumOriginal question

Priya's brother leaves home walking at 5 km/h. Ten minutes later Priya follows on a bicycle at 15 km/h along the same road. How long after she sets off does she catch him?

Options for question 32

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. In 10 min her brother walks 5×16=565 \times \frac{1}{6} = \frac{5}{6} km.

  2. Priya gains at 15−5=1015 - 5 = 10 km/h.

  3. Time =5/610=112= \frac{5/6}{10} = \frac{1}{12} h=5h = 5 min.

Worth noting

2.5 minutes comes from adding the speeds. When one follows the other, the speeds subtract.

Concept
Catch-up time after a time-based head start
Typical time
60 s
Your time
—
The rule this testsRelative speed
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.