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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