At first an athlete jogs at 6

6 miles per hour and then jogs at 8

8 miles perhour, traveling 7

7 miles in 1

1 hournothing

. How long does the athlete jog at eachspeed? (Hint: Let t represent the amount of time the athlete jogs at 6

6 mph. Then 1 minus t

1t represents the amount of time the athlete jogs at 8

8 mph.)