<PRE><B>Question 860454</B>
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 </PRE>