Timework16

0. A monkey climbing up a greased pole ascends 10 metres and slips down 2 metres in alternate minutes. If the pole is 64 metres high, how long will it take him to reach the top?

  • Option : B
  • Explanation :
    In 1 minute, monkey ascends 10 metres but he takes 1 minute to slip down 2 metres.
    Thus, atthe end of 2 minutes, net ascending of the monkey is = 10 - 2 = 8 metres.
    Thus, to have a net ascending of 8 metres, process of ascending and then slipping happens once.
    So,to cover 64 metres, above process is repeated 64/8 or 8 times. It is clear that in 8 such happenings, the monkey will slip 7 times, because 8th time, he will ascend to the top.
    Thus, in climbing 7 times and slipping 7 times, he covers (7 x 8) or 56 metres.
    Time taken to cover 56 metres = (56 x 2)/8 = 14 minutes
    Remaining distance = 64 - 56 = 8 metres
    Time taken to ascend 8 metres = 8/10 = 4/5 min
    Total time taken = 14 minutes + 4/5 min
    = 14 mins. 48 sec.
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