SOLUTION: At first an athlete jogs at 10 miles per hour and then jogs at 8 miles per hour, traveling 10.2 miles in 1.2 hours. How long did the athlete jog at each speed?

Question 880310: At first an athlete jogs at 10 miles per hour and then jogs at 8 miles per hour, traveling 10.2 miles in 1.2 hours. How long did the athlete jog at each speed?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
At first an athlete jogs at 10 miles per hour and then jogs at 8 miles per hour, traveling 10.2 miles in 1.2 hours. How long did the athlete jog at each speed?
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let x=travel time jogging at 10 mph
1.2-x=travel time jogging at 8 mph
distance=speed*travel time
..
10x+8(1.2-x)=10.2
10x+9.6-8x=10.2
2x=0.6
x=0.6/2=0.3
1.2-x=0.9
travel time jogging at 10 mph=0.3 hr
travel time jogging at 8 mph=0.9 hr
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