Question
Sohan was travelling on one side of the express way with a constant speed of 80 kmph in his car while Mohan was travelling with a constant speed of 50 kmph in the opposite direction. When they crossed each other, Sohan decided to take a U-turn and meet him. But before taking a U turn, Sohan had to travel for another 12 minutes. How long will it take for Sohan to meet Mohan? [Assume time taken by Sohan to take U turn is negligible]
Solution
Distance Travelled by Sohan in 12 minutes = 12/60 × 80 = 16 km Distance travelled by Mohan in 12 minutes = 12/60 × 50 = 10 km Hence Sohan will have to travel a distance of 26 km before catching up with Mohan. Relative speed of Sohan to that of Mohan after taking U turn = 80 – 50 = 30 kmph Time taken by Sohan after taking U turn to Meet Mohan = 26/30 × 60 = 52 minutes Total time taken by Sohan to meet Mohan = (12 + 52) minutes = 64 minutes
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