SOLUTION: Janet is training for a triathlon. Yesterday she jogged for 12 miles and then cycled another 31.5 miles. Her speed while cycling was 6 miles per hour faster than while jogging. If

Question 1072602: Janet is training for a triathlon. Yesterday she jogged for 12 miles and then cycled another 31.5 miles. Her speed while cycling was 6 miles per hour faster than while jogging. If the total time for jogging and cycling was 3.75 hours, at what rate did she cycle.
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
r, speed cycled

               SPEED       TIME           DISTANCE
JOG             r-6        12/(r-6)        12
CYCLE           r          31.5/r          31.5
Total                       3.75

Multiply both sides by and simplify......

Discriminant,
.
Solutions found to the quadratic,

Only the 14 mile per hour value is meaningful.
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