SOLUTION: Cyclist A takes 6 minutes to complete a lap. Cyclist B takes 4 minutes. If they start together, in how many minutes will B overtake A?

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Question 889288: Cyclist A takes 6 minutes to complete a lap. Cyclist B takes 4 minutes. If they start together, in how many minutes will B overtake A?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Cyclist A takes 1 lap in 6 minutes so has a speed
of 1/6 laps per minute
Cyclist B takes 1 lap in 4 minutes so has a speed
of 1/4 laps per minute
The difference is the speeds is 1/4 - 1/6
= 3/12 - 2/12 = 1/12 laps per minute
So Cyclist B will pass Cyclist A in 12 minutes
Checking, in 12 minutes, Cyclist A will have completed 12(1/6) = 2 laps
Cyclist B will have completed 12(1/4) = 3 laps