At first, an athlete jogs at 5 miles per hour and then jogs at 6 miles per hour, traveling at 7 miles in 1.2 hours. How long does the athlete jog at each speed?

Question

Hint: Let t represent the amount of time the athlete jogs at 5 mph. Then 1.2 - t represents the amount of time the athlete jogs at 6 mph.

The athlete jogged _____ hour(s) at a speed of 5 miles per hour and _____ hour(s) at a speed of 6 miles per hour.

Answer 1

5t + 6(1.2-t) = 7

5t - 6t + 7.2 = 7

t=0.2

so jog 0.2 hr at 5m/h, and 1 hr at 6m/h