Three boys can go on a circular pathway in 3 minutes 20 seconds, 3 minutes 40 seconds and 4 minutes respectively. If they start simultaneously from same place and at the same time, when will they meet next ?
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Answer:
220 minutes (3 hours 40 minutes)
Step-by-step explanation:
Time required by 1st boy to complete one revolution around the circular pathway = 3 minutes 20 seconds = (3*60 + 20) = (180 + 20) = 200 seconds
Time required by 2nd boy to complete one revolution around the circular pathway = 3 minutes 40 seconds = (3*60 + 40) = (180 + 40) = 220 seconds
Time required by 3rd boy to complete one revolution around the circular pathway = 4 minutes = (4*60) = 240 seconds
Time after which they will meet together = LCM of the individual times required by the boys
= LCM of 200, 220 and 240
= 13200 seconds
= 13200/60 minutes
= 220 minutes (or 3 hours 40 minutes)
Therefore the 3 boys meet together after 220 minutes (3 hours 40 minutes)
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