A monkey climbs 4 meters of a pole in 1 minute, but slips 2 meters in next minute in how much time he will reach the top of a pole 15 metres long? Assume that he starts from the bottom of the pole.
A
7 min 30 sec
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B
7 min
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C
13 min
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D
12 min 45 sec
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Solution
The correct option is C 12 min 45 sec height of the pole (x) = 15 m Climbed distance per minute (y) = 4 m Slips (y) = 2 m in next minute So, In 2 min he climbs 2 m. we take, 2 min = 1 unit of time t = 2 minutes You can calculate required time by this formula : (we are calculating it for 14 m) Reqd. Time = [( ht. of pole - slipped distance) / (climbed distance - slipped distance )] *T = [(x-z) / (y-z)] *t = [(14-2) / (4-2)] &2 = (12/2) *2 = 6 *2 = 12 minutes And the last 1 m monkey will climb in 45 second because one he get up did not get slipped down So, total time = 12 minutes 45 seconds.