SOLUTION: (Please help?) A car travels from one town to another at a speed of 42 mph. If it had gone 6 mph faster, it could have made the trip in a half hour less time. How far apart are th

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Question 843245: (Please help?)
A car travels from one town to another at a speed of 42 mph. If it had gone 6 mph faster, it could have made the trip in a half hour less time. How far apart are the towns?
The answer is ___ mi?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Let t represent the time traveled at 42mph
D = D = rate•time
%2842mph%29t+=+%2848mph%29%28t-.5hr%29%29
%2842mph%29t+=+%2848mph%29%28t%29-24m%29%29
24m = 6mph(t)
4hr = t
How far apart are the towns? %2842mph%294hr = 168mi apart