Question 860454: lola and kim are in a bicycle race, following a circular track. If they start at the same place and travel in the same direction, and lola completes a revolution every 40 seconds and kim completes a revolution every 45 seconds, how long will it take them before they reach the starting point again simultaneously?
Do I use the distance formula- P1P2= square root of x-2-x1 to the power of 2 + y2-y2?
I know the solution I am trying to find is x, but where do I go about that?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! lola and kim are in a bicycle race, following a circular track.
If they start at the same place and travel in the same direction, and
lola completes a revolution every 40 seconds and
kim completes a revolution every 45 seconds,
how long will it take them before they reach the starting point again simultaneously?
:
Find the least multiple of 40 and 45, prime factor:
40: 2*2*2*5
45: 3*3*5
then 2*2*2*3*3*5 = 360 seconds they will both be at the starting point
360/40 = 9 rev for L
360/45 = 8 rev for K
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