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?

Guest Dec 24, 2018

#1**+1 **

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

CPhill Dec 24, 2018