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?
:
Let d = dist between the towns
:
Write a time equation; time = dist/speed
:
actual time - faster time = half-hour
{{{d/42}}} - {{{d/48}}} = {{{1/2}}}
Mult by 2016 (that's 42*48); results
48d - 42d = 1008
:
6d = 1008
d = {{{1008/6}}}
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