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Trains A starts from Indore to Bhopal and train B starts from Bhopal to Indore at the same time. After they meet at some point, train A returns to Indore by reducing the speed by 25% and train B returns to Bhopal by increasing the speed by 25%. If train A takes 2 hr 20 min for the entire journey then what is the time taken by train B for the entire journey.

Trains A starts from Indore to Bhopal and train B starts from Bhopal to Indore at the same time. After they meet at some point, train A returns to Indore by reducing the speed by 25% and train B returns to Bhopal by increasing the speed by 25%. If train A takes 2 hr 20 min for the entire journey then what is the time taken by train B for the entire journey. Correct Answer 1hr 48 min

Suppose they meet at the Point K after x min from starting

Speed of train A is reduced by 25% so the new speed is 3/4th of original

Time taken in return journey = 4x/3

⇒ x + 4x/3  = 140 min

⇒ x = 60 min

Speed of train B is increased by 25% so the new speed is 5/4th of original

Time taken in return journey = 4x/5

∴ Total time taken = x + 4x/5 = 60 + 48 = 108 min = 1hr 48 min

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