SOLUTION: A pilot flew from Montreal to Los Angeles, a distance of 2500 miles. On the return trip the average speed was 20% faster than the outbound speed. The round trip took 9 hours 10 min

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Question 838701: A pilot flew from Montreal to Los Angeles, a distance of 2500 miles. On the return trip the average speed was 20% faster than the outbound speed. The round trip took 9 hours 10 minutes. What was the speed from Montreal to Los Angeles?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
______________speed__________time___________distance
Going__________r_____________(___)_____________2500
Return_______1.2r____________(___)_____________2500
Total_______________________9%261%2F6


Fill the time expressions:

______________speed__________time___________distance
Going__________r_____________%282500%2Fr%29_____________2500
Return_______1.2r____________%282500%2F%281.2r%29%29_____________2500
Total_______________________9%261%2F6

Sum of the times give equation to solve:
highlight_green%282500%2Fr%2B2500%2F%281.2r%29=9%261%2F6%29
Simplify.
2500%2Fr%2B2083%261%2F3r=9%261%2F6
Multiply members by 6r.
6%2A2500%2B12500=6r%2855%2F6%29
15000%2B12500=6%2A55r
6%2A55r=27500
r=27500%2F%282%2A3%2A5%2A11%29
r=2750%2F%283%2A11%29
highlight%28r=83%261%2F3%29 miles per hour