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 one-half hour less time. How far apart are towns?

Algebra ->  Graphs -> 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 one-half hour less time. How far apart are towns?      Log On


   

Question 169576This question is from textbook Introductory Algebra
: 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 one-half hour less time. How far apart are towns? This question is from textbook Introductory Algebra

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=R*T
D=32T
D=(32+4)(T-.5)
32T=(32+4)(T-.5)
32T=32T+4T-16-2
4T=18
T=18/4
T=4.5 HOURS FOR THE TRIP @ 32 MPH.
D=32*4.5=112 MILES SEPARATE THESE TOWNS.PROOF:
144=(32+4)(4.5-.5)
144=36*4
144=144