A monkey climbing up a greased pole ascends 3m and slips 1m in the alternate minutes. If the pole is 12m high. How long will it take him to reach the top.
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Step-by-step explanation:
In 1 minute the monkey climbs 12 metres but then he takes 1 minute to slip down 5
metres. So, at the end of 2 minutes the net ascending of the monkey is 12 – 5 = 7 metres.
So, to cover 63 metres the above
process is repeated
63/7= 9
times. Obviously, in 9 such happenings the monkey will slip 8 times, because on 9th time, it
will climb to the top. Thus, in climbing 8 times and slipping 8 times, he covers 8 × 7 = 56 metres.
Time taken to cover 56 metres
=
56 × 2/7= 16 minutes
Remaining distance
= 63 – 56 = 7 metres
Time taken to ascend 7 metres
= 7/12 minutes
∴ Total time taken = 16 + 7/12
= 16 7/12 minutes
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