Multiple choice

A train travels between two stations. The train will be on time if it runs at an average speed of 60 km/hour, but will be late by 5 minutes if it runs at an average speed of 50 km/hour. What is the distance between the two stations?

  1. 20 km

  2. 25km

  3. 28 km

  4. 32 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be d km. At 60 km/h, time = d/60 hours. At 50 km/h, time = d/50 hours. Difference is 5 minutes = 5/60 hours. So d/50 - d/60 = 5/60. Solving: d(1/50 - 1/60) = 5/60 gives d(1/300) = 5/60, so d = 25 km.

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