SOLUTION: Ben runs around a circular track in 50 seconds, and roy, in 40 seconds. Five five secons after ben starts, roy starts from the same place in the same direction. When will they be t

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Question 338976: Ben runs around a circular track in 50 seconds, and roy, in 40 seconds. Five five secons after ben starts, roy starts from the same place in the same direction. When will they be together?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
They will be together when their distances are the same.
Let d=the circumference or length of the track.
By using d=rt, Ben's rate is d/50 and Roy's is d/40
Thus, their distances are (d/50)t and (d/40)*(t-5), respectively,
%28d%2F50%29%2At=%28d%2F40%29%2A%28t-5%29
Divide out the d's and we have:
t%2F50=%28t-5%29%2F40
t=25 seconds.