A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.

A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.

Let original speed = S km/h

Here, distance to be covered is constant

⇒ S × 8 = (S + 5)(²⁰⁄₃)

⇒ 8S - ²⁰⁄₃S = ¹⁰⁰⁄₃ 

⇒ S = ¹⁰⁰⁄₄ 

∴ S = 25 km/h

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