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Time, Speed & Distance · Question 14 of 71

Question 14

MediumOriginal question

Had a tempo driver gone 10 km/h faster, he would have taken 1 hour less to cover 200 km. What was his actual speed?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 200v−200v+10=1\frac{200}{v} - \frac{200}{v+10} = 1, which simplifies to v(v+10)=2000v(v+10) = 2000.

  2. Try v=40v = 40: 40×50=200040 \times 50 = 2000. It fits.

  3. Check: 200 km takes 5 h at 40 km/h and 4 h at 50 km/h, 1 hour less.

Worth noting

50 km/h is the faster, hypothetical speed. The question asks for the actual one.

Concept
Forming an equation from a change in speed and the time saved
Typical time
80 s
Your time
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The rule this testsSpeed, conversion and average 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.