SOLUTION: A car traveled 50 mph between two towns. If the speed had been 10 mph faster, the trip could have been made in 1 hr. less time. How far apart are the towns?

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Question 276789: A car traveled 50 mph between two towns. If the speed had been 10 mph faster, the trip could have been made in 1 hr. less time. How far apart are the towns?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A car traveled 50 mph between two towns.
If the speed had been 10 mph faster, the trip could have been made in 1 hr. less time.
How far apart are the towns?
:
Let d = dist between towns
:
Write a time equation; time = dist/speed
:
Actual speed time - faster time = 1 hr
d%2F50 - d%2F60 = 1
Multiply by 300
6d - 5d = 300
d = 300 mi between towns
:
Check by finding the times
300/50 = 6 hr
300/60 = 5 hrs