Question

A train takes 2 hours to travel from Ajmer to Jaipur, which are 130 km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart if the train is travelling at the uniform speed?

Answer 1

Time taken by train to travel from Ajmer to Jaipur = 2 h

Distance between Ajmer and Jaipur = 130 km

Distance between Delhi and Bhopal = 780 km

The train is travelling at the uniform speed

Therefore, distance : time :: distance : time

⇒ 130 : 2 :: 780 : x (let)

⇒ `130/2 = 780/x`

⇒ `130 xx x = 2 xx 780`  ...[By cross-multiplication]

⇒ `x = (2 xx 780)/130 = 12`

Hence, the train will take 12 h from Delhi to Bhopal.