Multiple choice

A man travelled a certain distance by train at the rate of 50 km/hr and come back by running at average speed of 8 km/hr. The journey took 2 hours 54 min. What distance did he travelled by train?

  1. 20 km

  2. 24 km

  3. 16 km

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

Let distance by train = d km. Time by train = d/50 hours. Time running back = d/8 hours. Total time = 2 hours 54 min = 2.9 hours = 29/10 hours. Therefore: d/50 + d/8 = 29/10. Multiplying by 200: 4d + 25d = 580, so 29d = 580, hence d = 20 km. Verify: 20/50 + 20/8 = 0.4 + 2.5 = 2.9 hours = 2 hours 54 minutes.

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