SOLUTION: monica, veronica and rachael began to jog around a circular stadium. they complete their revolution in 42 second, 56 second and 63 second respectively. after how many seconds will

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Question 1087743: monica, veronica and rachael began to jog around a circular stadium. they complete their revolution in 42 second, 56 second and 63 second respectively. after how many seconds will they be at the starting point
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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monica, veronica and rachael began to jog around a circular stadium. they complete their revolution in 42 second, 56 second and 63 second respectively. after how many seconds will they be at the starting point
:
Find the least common multiple by prime factoring each
42: 2*3*7
56: 2*2*2*7
63: 3*3*7
FInd the LCM: 2*2*2*3*3*7 = 504 sec they will all be at the starting point
:
M makes 12 revolutions
V makes 9
R makes 8