SOLUTION: if an athlete jogged at 5 miles per hour and then jogs at 6 miles per hour, traveling 10 miles in 1.8 hours, how long did the athlete travel at each speed?

Question 959366: if an athlete jogged at 5 miles per hour and then jogs at 6 miles per hour, traveling 10 miles in 1.8 hours, how long did the athlete travel at each speed?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
LET X BE THE TIME FOR THE 5MPH RUN.
LET 1.8-X BE THE TIME FOR THE 6 MPH RUN.
D=RT
10=(5X+6(1.8-X))
10=5X+10.8-6X
10=-X+10.8
X=10.8-10
X=.8 HOURS FOR THE 5MPH RUN.
1.8-.8=1 HOUR FOR THE 6 MPH RUN.
PROOF:
10=5*.8+6*1
10=4+6
10=10
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