A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hour less time. How far apart are the towns.

Answer 1

distance = d
32 t = d
36 (t-.5) = d
32 t = 36 (t-.5)
32 t = 36 t - 18
4 t = 18
t = 9/2
32 t = d = 144

Answer 2

Ahh, I kept reading the problem wrong and thinking it said 1/2 the time rather than a 1/2 hour less time so I was setting up the problem with 36(t/2) instead of 36(t-1/2).

Thanks for your help!