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Question

Akbar and Birbal setout at the same time to walk towards each other respectively from Agra and Banaras 144 km apart. Akbar walks at the constant speed of 8 km/h, while Birbal walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the Akbar and Birbal will meet:

A
in 6 h
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B
in 8 h
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C
midway between Agra and Banaras
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D
80 km away from Banaras
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Solution

The correct option is C midway between Agra and Banaras
Distance travelled by them in the first hour = 12km
Distance travelled by them in the second hour = 13km
Distance travelled by them in third hour = 14 km and so on
Thus, in 9 hours they will cover exactly 144 km and in 9 hours each will cover half of the total distance.
(8×9=72 and 4+5+6+7+8+9+10+11+12=72)


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