SOLUTION: At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 12 miles in 1.8 hours. How long does the athlete jog at each speed? (Hint: Let t represen

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Question 986953: At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 12 miles in 1.8 hours. How long does the athlete jog at each speed? (Hint: Let t represent the amount of time the athlete jogs at 5 mph. Then 1.8 -t represents the amount of time the athlete jogs at 8 mph.)
The athlete jogged ____ hour(s) at a speed of 5 miles per hour and ____ hour(s) at a speed of 8 miles per hour. (Type integers or decimals.)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
At first an athlete jogs at 5 miles per hour and then jogs at 8 miles per hour, traveling 12 miles in 1.8 hours.
How long does the athlete jog at each speed? (Hint: Let t represent the amount of time the athlete jogs at 5 mph. Then 1.8 -t represents the amount of time the athlete jogs at 8 mph.)
:
Write a distance equation; dist = speed * time
dist@5 + dist@8 = 12 miles
5t + 8(1.8-t) = 12
5t + 14.4 - 8t = 12
5t - 8t = 12 - 14.4
-3t = -2.4
t = %28-2.4%29%2F%28-3%29
t = .8 hrs at 5 mph
I'll let you find how long at 8 mph
:
The athlete jogged ____ hour(s) at a speed of 5 miles per hour and ____ hour(s) at a speed of 8 miles per hour. (Type integers or decimals.)