At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 8 miles in

1.3 hours. How long does the athlete jog at each speed? (Hint: Lett represent the amount of time

the athlete jogs at 5 mph. Then 1.3-t represents the amount of time the athlete jogs at 8 mph.)

Question

Kaitlynn Trujillo

Mathematics

29 August, 09:44

At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 8 miles in

1.3 hours. How long does the athlete jog at each speed? (Hint: Lett represent the amount of time

the athlete jogs at 5 mph. Then 1.3-t represents the amount of time the athlete jogs at 8 mph.)

+2

Answers (1)

Know the Answer?

Kyle James · Answer 1

5mph time = 0.8h

8mph time = 0.5h

Step-by-step explanation:

Lets assume that 5mph time is x and 8mph time is y

Then

x + y = 1.3h

5x + 8y = 8

x = 1.3 - y

5 (1.3 - y) + 8y = 8

6.5 - 5y + 8y = 8

3y = 8 - 6.5

y = 0.5

x = 1.3 - 0.5 = 0.8

At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 8 miles in1.3 hours. How long does the athlete jog at each speed? (Hint: Lett represent the amount of timethe athlete jogs at 5 mph. Then 1.3-t represents the amount of time the athlete jogs at 8 mph.)

At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 8 miles in

1.3 hours. How long does the athlete jog at each speed? (Hint: Lett represent the amount of time

the athlete jogs at 5 mph. Then 1.3-t represents the amount of time the athlete jogs at 8 mph.)