SOLUTION: 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 hr less time. How far apart are the towns?

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Question 111617This question is from textbook
: 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 hr less time. How far apart are the towns? This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Distance
1. 32%2AT=D
2. %2832%2B4%29%2A%28T-1%2F2%29=D
Since both equal D, put them equal to each other.
32T=36%28T-1%2F2%29
32T=36T-18
-4T=-18
T=4.5
From 1,
1.D=32%2AT
D=32%2A4.5
D=144
Check your answer using equation 2.
2. D=%2832%2B4%29%2A%28T-1%2F2%29
144=%2832%2B4%29%2A%284.5-0.5%29
144=36%2A4
144=144
True statement.
Good answer.
The distance is 144 miles.