Question : A man travelled a certain distance by train at the speed of 50 km/hr and walked back the same distance at the speed of 10 km/hr. If the whole journey took 12 hours, then what was the distance travelled by train?
Option 1: 100 km
Option 2: 180 km
Option 3: 150 km
Option 4: 120 km
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Correct Answer: 100 km
Solution : Speed of train = 50 km/hr Speed of walking = 10 km/hr Total time for journey = 12 hours Let the distance to be covered be $d$ km. Time taken by train = $\frac{d}{50}$ Time taken by walking = $\frac{d}{10}$ According to the question : $⇒ \frac{d}{50} + \frac{d}{10} = 12$ $⇒ 6d = 50 × 12$ $⇒ d = 100$ km Hence, the distance travelled by train is 100 km. Hence, the correct answer is 100 km.
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