SOLUTION: A car trip from New York to Cincinnati took 12 1/2 hours. The return trip took an hour longer because the rate was 4 mph less. What was the rate of the trip to NY? What was the dis

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car trip from New York to Cincinnati took 12 1/2 hours. The return trip took an hour longer because the rate was 4 mph less. What was the rate of the trip to NY? What was the dis      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1052244: A car trip from New York to Cincinnati took 12 1/2 hours. The return trip took an hour longer because the rate was 4 mph less. What was the rate of the trip to NY? What was the distance?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
                 SPEED         TIME             DISTANCE
NY to Cin        r             12%261%2F2       d
Cin to NY        r-4           13%261%2F2       d


r%2825%2F2%29=d
r=2d%2F25


%28r-4%29%2827%2F2%29=d
%2827%2F2%29r-2%2A27=d
%2827%2F2%29%282d%2F25%29-2%2A27=d
'
27d%2F25-54=d
'
27d%2F25-d=54
%2827%2F25-25%2F25%29d=54
%282%2F25%29d=54
d%2F25=27
d=27%2A25
highlight%28d=675%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

A car trip from New York to Cincinnati took 12 1/2 hours. The return trip took an hour longer because the rate was 4 mph less. What was the rate of the trip to NY? What was the distance?