Posted by **Sam** on Wednesday, February 8, 2012 at 11:19pm.

As part of her training routine for basketball, Shaylle alternates between cycling and running for exercise. She cycles at a rate of 14 mph and runs at a rate of 8 mph. If she spends 6.5 hours exercising and covers a total of 85 miles, how much time did she spend on each exercise?

- algebra -
**Reiny**, Wednesday, February 8, 2012 at 11:56pm
let her distance covered cycling be x miles

let her distance covered running be 85-x miles

time cycling = x/14

time running = (85-x)/8

x/14 + (85-x)/8 = 6.5

multiply by 56

4x + 7(85-x) = 364

4x + 595 - 7x = 364

-3x = -231

x = 77

so she cycled 77 miles

and ran 8 miles

time cycling = 77/14 = 5.5 hrs

time running = 8/8 = 1 hour

total time = 6.5 hrs , checks out!

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