Ratan Ali and Jaspreet jog around a circular park. They complete the round in 36 seconds 42 ,seconds and 48 seconds respectively . After how many seconds will they be together at the starting point?
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Answer:
1008
given,
time taken by three friends to jog around a circular track:
- time taken by Ali to jog- 42 seconds
- time taken by ratan to jog- 32 seconds
- time taken by Jaspreet to jog- 48 seconds
to find,
time taken for them to be together at the starting point.
solution,
in the given problem, we have the time taken by three friends to jog around a circular track.
to find the number of seconds after which they will meet at the starting point, we must find their L.C.M
LCM (36 42 48) = X
36 = 2 x 2 x 3 x 3
42 = 2 x 3 x 7
48 = 2 x 2 x 2 x 2 x 3
by common factors:
X = 2 x 2 x 3 x 3 x 7 x 2 x 2
X = 1008
therefore, after 1008 seconds, they will be together at the starting point.
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