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Question

Mr. Ghosh Babu leaves his house daily at a particular time to go to his office. He reaches office 10minutes late when he travels at 20 kmph and 5 minutes early when he travels at 30 kmph. At what speed should he travel to reach office on time?

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Solution

Let the distance between his house & office = d km

If his speed is 20 kmph time taken =d20hrs

=d20×60 minus=3d minuts

30 kmph time taken =d30×60 =2d minuts

Correct time to reach office = 3d - 10 = 2d + 5 = t

d = 15 km

∴ The correct speed =dt=1535 km/min=/153/357×60 km/hr=1807=25.71 km/hr

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