Question 52

Distance between A and B is 72 km. Two men started walking from A and B at the same time towards each other. The person who started from A travelled uniformly with average speed of 4 km/hr. While the other man travelled with varying speed as follows: in the first hour his speed was 2 km/hr, in the second hour it was 2.5 km/hr, in the third hour it was 3 km/hr, and so on. When will they meet each other?

Solution

In the first hour, they cover 6km. In the second hour they cover 6.5km. In the third hour, they cover 7km and so on.

Finally, they cover 72km in 9 hours.

Distance covered by A in 9 hours = 4*9 = 36km

=> They meet mid-way between A and B.

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