SOLUTION: Two cyclists agree to complete a total of 100 miles around a track, with the second cyclist starting when the other one stops. One cyclist rides 5 mph faster than the other and goe

Question 919624: Two cyclists agree to complete a total of 100 miles around a track, with the second cyclist starting when the other one stops. One cyclist rides 5 mph faster than the other and goes 75 miles. If the faster cyclist rode for twice the amount of time as the slower one, how fast was each cyclist riding?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
__________________rate__________time___________distance
FIRST_____________r+5__________(____)___________75
SECND_____________r____________(____)_________(_____)
Total__________________________________________100

Some elements are missing from the data table above.
Knowing that the sum of distances must be 100, and the two-times time relationship, the missing elements can be filled.

__________________rate__________time___________distance
FIRST_____________r+5_____________________75
SECND_____________r____________()_________(25)
Total__________________________________________100

the faster cyclist rode for twice the amount of time as the slower one,
.
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