At first an athlete jogs at 6 miles per hour and then jogs at 8 miles per​ hour, traveling 11 miles in 1.5 hours...

Question

How long does the athlete jog at each​ speed? (Hint: Let t represent the amount of time the athlete jogs at

6 mph. Then 1.5 − t represents the amount of time the athlete jogs at

8 mph.)

The athlete jogged blank hour (s) at a speed of 6 miles per hour and blank hour (s) at a speed of 8 miles per hour.

Answer 1

6T + 8(1.5-T) = 11

6T-8T = 11- 12

2T =1

T = 1/2 at 6 mph

1.5-T = 1 hour at 8 mph

1/2 hour at 6mph is 3 miles

1 hour at 8 mph is 8 miles

3+8 = 11 miles in 1.5 hours