SOLUTION: Two joggers are running around an oval track in opposite directions. One jogger runs around the track in 56 seconds. The joggers meet every 24 seconds. How many seconds does it ta

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Question 239892: Two joggers are running around an oval track in opposite directions. One jogger runs around the track in 56 seconds. The joggers meet every 24 seconds. How many seconds does it take for the second jogger to run around the track?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two joggers are running around an oval track in opposite directions.
One jogger runs around the track in 56 seconds.
The joggers meet every 24 seconds.
How many seconds does it take for the second jogger to run around the track?
:
Let t = time for the 2nd jogger to run around the track
:
The 1st time they meet the 1st jogger has covered 24%2F56 or 3%2F7 of the track.
Therefore
The 2nd jogger has covered 4%2F7 of the track in 24 seconds
then
4%2F7t = 24
t = 24 * 7%2F4
t = 6(7)
t = 42 seconds time of the 2nd jogger