SOLUTION: Running at an average rate of 7 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 3 meters per seco

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Question 902234: Running at an average rate of 7 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 3 meters per second. The total time for the sprint and the jog back was 3 minutes 30 seconds. Find the length of the track.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
_________________speed_________time________distance
ONE WAY___________7_____________x__________d
OTHER WAY_________3_____________y__________d

Either convert speeds to meters per minute or convert times to seconds. Converting the speeds seems better.

For rate r in meters per second: r%2A%28m%2Fsec%29%2A60%28sec%2Fmin%29

_________________speed(m/min)___________time________distance
ONE WAY___________420____________________x__________d
OTHER WAY_________180____________________y__________d


The tabulated data allows for some equations:

_________________speed(m/min)___________time________distance
ONE WAY___________420____________________x__________d=420x
OTHER WAY_________180____________________y__________d=180y
Total__________________________________3%261%2F2

This indicates a system of TWO equations:
highlight_green%28system%28420x=180y%2Cx%2By=3%261%2F2%29%29.

Finally, knowing x or y, you can evaluate the length of the track, d.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Running at an average rate of 7 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 3 meters per second. The total time for the sprint and the jog back was 3 minutes 30 seconds. Find the length of the track.


D%2F7+%2B+D%2F3+=+210

Solve for D, the length of the track

It is that SIMPLE!!

Then do a check!! 



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