SOLUTION: Two cars started from the same position. Car A took 280 seconds to complete a lap while car B took 288 seconds to complete the same lap. How long does it take for both cars to meet

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Question 905652: Two cars started from the same position. Car A took 280 seconds to complete a lap while car B took 288 seconds to complete the same lap. How long does it take for both cars to meet at the same starting point again?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars started from the same position.
Car A took 280 seconds to complete a lap while car B took 288 seconds to complete the same lap.
How long does it take for both cars to meet at the same starting point again?
:
Find the least common multiple of 280 and 288
prime factor
280: 2*2*2*7*5
288: 2*2*2*2*2*3*3
LCM; 2*2*2*2*2*3*3*7*5 = 10,080 seconds, A completes 36 laps, B completes 35 laps