SOLUTION: At first an athlete jogs at 6 miles per hour and the jogs at 5 miles per hour, traveling 7 miles in 1.3 hours. How long did the athlete jog at each speed? Show your work!

Question 50492This question is from textbook
: At first an athlete jogs at 6 miles per hour and the jogs at 5 miles per hour, traveling 7 miles in 1.3 hours. How long did the athlete jog at each speed? Show your work! This question is from textbook

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
distance = rate * time
distance + distance = total distance
rate * time + rate * time = 7
6(h) + 5(1.3 - h) = 7
6h + 6.5 - 5h = 7
h = 0.5
Plug: 1.3 - h = 1.3 - 0.5 = 0.8
He ran at six miles an hour for 0.5 hours or 30 minutes.
He ran at five miles an hour for 0.8 hours or 48 minutes.
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