SOLUTION: Lashandra drove from Elum to Sligo at an average rate of 50 mph. On the return trip she drove at an average rate of 60 mph, and made the trip in 45 minutes less time. How far is it

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Lashandra drove from Elum to Sligo at an average rate of 50 mph. On the return trip she drove at an average rate of 60 mph, and made the trip in 45 minutes less time. How far is it      Log On

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Question 275529: Lashandra drove from Elum to Sligo at an average rate of 50 mph. On the return trip she drove at an average rate of 60 mph, and made the trip in 45 minutes less time. How far is it from Elum to Sligo?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Lashandra drove from Elum to Sligo at an average rate of 50 mph.
On the return trip she drove at an average rate of 60 mph, and made the trip in 45 minutes less time.
How far is it from Elum to Sligo?
:
Let d = distance from E to S
:
Change 45 min to .75hr
:
Write a time equation; time = dist/speed
:
To time - return time = .75 hrs
d%2F50 - d%2F60 = .75
multiply by 300, results
:
6d - 5d = .75(300)
d = 225 mi from E to S
:
:
Check solution by finding the times
225/50 = 4.5 hrs
225/60 = 3.75 hrs
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difference .75 hrs