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Question 57

A man reaches his office 10 minutes late if he drives his car at 40 kmph, and 5 minutes early if he drives his car at 50 kmph from his home. How should I calculate the distance of his office from his home?

Solution

Speed = distance / time

40 = distance / (t + 10)

50 = distance / (t - 5)

4/5 = (t-5)/(t+10)

4t + 40 = 5t - 25

t = 65 min

distance = speed * time

= 40 * (75/60) --- in hours

= 50 km

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