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2 cars travel in opposite directions around a circular path in separate lanes. Car A completes 1 lap in 120 seconds, Car B completes 1 lap in 240 seconds. After the cars pass each other once, how long will it take to pass each other again?

 Dec 24, 2018
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2 cars travel in opposite directions around a circular path in separate lanes. Car A completes 1 lap in 120 seconds, Car B completes 1 lap in 240 seconds. After the cars pass each other once, how long will it take to pass each other again?

 

Car A completes 1/2 lap per minute

Car B completes  1/4 lap per minute

 

So....when they pass each other again, their combined distance traveled = 1 lap

 

So....we want to solve this where x is the number of minutes until they meet again

 

x/2 + x/4 =  1

 

[ 2x + x ]  / 4 = 1

 

3x / 4  = 1

 

3x = 4

 

x = 4/3     minutes   they will pass each other again  = 80 seconds

 

 

 

cool cool cool

 Dec 24, 2018

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