SOLUTION: a salesperson is late for a meeting after traveling from one town to another at a speed of 32 mph. If she had gone 4 mph faster, she could have made the trip in one-half hour less

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Question 365807: a salesperson is late for a meeting after traveling from one town to another at a speed of 32 mph. If she had gone 4 mph faster, she could have made the trip in one-half hour less time. How far apart are the towns?
Found 2 solutions by mananth, robertb:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the distance between towns be x miles
..
time = distance /speed
time = x/32 hours
..
4mph faster
x+4
time = x/36 hours
..
x/32-x/36 =1/2
(36x-32x)/32*36= 1/2
4x=1/2 * 36*32
4x=576
/4
x=144 miles the distance
...
m.ananth@hotmail.ca

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
d%2F32-d%2F36+=+1%2F2. Multiplying both sides by 288, the lcd,
9d+-+8d+=+144,
or d = 144 miles, the distance between the two towns.