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:

in 6 h

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in 8 h

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midway between Agra and Banaras

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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.
$(8 \times 9 = 72 a n d 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 72)$

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[2 marks]

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