Rohan takes 2 hours more than Soham to walk 50 km,but if Rohan doubles his speed, then he can make it in 1 hour less than Soham. How much time does Soham require for walking 50 km?
Explanation:
Let time taken by Soham and Rohan to walk 50 kms be t and t + 2 hours respectively.
⇒ Soham's speed = 50/t ⇒ Rohan's speed = 50/(t + 2)
With double speed Rohan takes 1 hour less than Soham to walk 50 kms.
⇒ 502×50t+2 = t - 1
⇒ 50 = 2×50t+2×(t-1)
⇒ 12 = t-1t+2
⇒ t + 2 = 2(t - 1)
⇒ t = 4 hours.
Hence, option (a).
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