SOLUTION: Running at an average rate of 6 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the starting point at an average rate of 2 meters per seco

Question 771446: Running at an average rate of 6 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the starting point at an average rate of 2 meters per second. The total time for the sprint and the jog back was 2 minutes 24 seconds. Find the length of the track.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the length of the track in meters
Let = the time spent sprinting in seconds
Convert minutes to seconds:
sec
sec
= time spent jogging in seconds
-----------------------------
Equation for sprinting:
(1)
Equation for jogging:
(2)
--------------------
(2)
By substitution:
(2)
(2)
(2) sec
and
(1)
(1)
(1)
The track is 216 meters long
check:
(2)
(2)
(2)
(2)
OK

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