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Time, Speed & Distance · Question 54 of 71

Question 54

MediumOriginal question

Two trains, each 150 m long, run in opposite directions and cross each other in 9 seconds. One train is twice as fast as the other. What is the speed of the faster train?

Options for question 54

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Relative speed =3009=1003= \frac{300}{9} = \frac{100}{3} m/s =1003×185=120= \frac{100}{3} \times \frac{18}{5} = 120 km/h.

  2. Speeds are xx and 2x2x, so 3x=1203x = 120, x=40x = 40.

  3. The faster train runs at 80 km/h.

Worth noting

120 km/h is the combined speed; 40 km/h is the slower train.

Concept
Splitting a relative speed in a given ratio
Typical time
75 s
Your time
—
The rule this testsTrains
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.