SOLUTION: a car travels from one town to another at a speed of 42mph. if it had gone 6mph faster, it could have made the trip in a half hour less time. how far apart are the towns?

Question 331710: a car travels from one town to another at a speed of 42mph. if it had gone 6mph faster, it could have made the trip in a half hour less time. how far apart are the towns?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a car travels from one town to another at a speed of 42mph.
if it had gone 6mph faster, it could have made the trip in a half hour less time.
how far apart are the towns?
:
Let d = dist between the towns
:
Write a time equation; time = dist/speed
:
actual time - faster time = half-hour
- =
Mult by 2016 (that's 42*48); results
48d - 42d = 1008
:
6d = 1008
d =
d = 168 mi between towns
:
:
Check solution by finding the times
168/42 = 4 hrs
168/48 = 3.5
--------------
differ = .5 hr confirms our solution of 168 mi
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