Three persons started running on a circular track of length 36 km from the same starting point with speeds 7 km/h, 11km/h and 15 km/h respectively in the same direction. How many points are there where they will meet on the track, including the starting point?
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Time taken to meet for the 1st time at starting point = LCM (36/7,36/11,36/15) = 36 hours
Time taken to meet for the 1st time = LCM (36/(11-7),36/(15-7)) = LCM(36,36)/HCF(4,8) = 36/4 = 9 hours
⇒ Number of meeting points = 36/9 = 4 points
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Answer:
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Step-by-step explanation:
=> Time taken to meet for the 1st time at starting point = LCM
=> (36/7,36/11,36/15) = 36 hours
=> Time taken to meet for the 1st time = LCM (36/(11-7),36/(15-7)) = LCM(36,36)/HCF(4,8) = 36/4 = 9 hours
⇒ Number of meeting points = 36/9 = 4 points
[Shortcut: Since they are moving in same direction, one may directly solve by taking HCF {(11 – 7), (15 – 7)} = 4 points, but this is applicable only when HCF of given speeds is 1]
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