SOLUTION: i know how to do the math, i just need help setting up the equation and how to set up variables. it takes a plane 40 min longer to fly from boston to los angeles at 525 mi/h tha

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Question 818576: i know how to do the math, i just need help setting up the equation and how to set up variables.
it takes a plane 40 min longer to fly from boston to los angeles at 525 mi/h than it does to return at 600 mi/h. how far apart are the cities?
Found 2 solutions by josgarithmetic, TimothyLamb:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
PATH_____________speed_____________time______________distance
TO_______________525_______________2%2F3%2Bx_____________525%28x%2B2%2F3%29
BACK_____________600_______________x_________________600x

The assigning done is x=time to fly "back". Unit of time is HOURS.
The distance is the same both directions.
525%28x%2B2%2F3%29=600x

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
s = d / t
d = s * t
---
return time: T hours
---
outbound:
D = 525(T + 40/60)
---
return:
D = 600T
---
525(T + 40/60) = 600T
525T + 525(2/3) = 600T
75T = 350
T = 14/3
---
D = 600T
D = 600(14/3)
D = 2800
---
answer:
2800 miles
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