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Directions: Anil started from city X at 10:00 AM and travelled towards city Y. After one hour, Sunil started from Y and travelled towards X. The total time taken by Anil and Sunil for their journey are (k + 2) hours and k hours respectively. They met each other at 7:00 PM. The speed of Sunil is 7 km/h more than that of Anil.Find the total time taken by Anil for his journey?1). 16 hours2). 14 hours3). 20 hours4). 18 hours

Answer»

LET the distance between the two cities be ‘d’ km. 

The distance TRAVELLED by ANIL for ONE hour = d/(k + 2)

Remaining distance = d[1 – 1/(k + 2)] = d[(k + 1)/(k + 2)] km

Given,

⇒ [(k + 1)/(k + 2)]/[d/(k + 2) + d/k] = 8

⇒ k/2 = 8

⇒ k = 16

∴ Required number of hours taken by Anil = 16 + 2 = 18 hours



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