A pedestrian and a cyclist left Nagpur for Buti Bori at the same time. Having reached Buti Bori, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to Buti Bori and cyclist turned back and also headed for Buti Bori. Having reached Buti Bori, the cyclist turned back again and met the pedestrian 30 mins after their first meeting. Determine what time it takes the pedestrian 30 mins after their first meeting.

1 hour

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2 hours

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2.5 hours

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3 hours

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Solution

The correct option is B 2 hours
Suppose A and B are the points where the first and the second meeting took place.
The total distance covered by the pedestrian and the cyclist before the first meeting = Twice the distance between Nagpur and Buti Bori.
Total time taken is 1 hour.
Total distance cover by pedestrian and the cyclist between the two meetings = Twice the distance between A and Buti Bori. and time taken is half an hour.
Hence, A is the mid-point. This will result in a GP.

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