SOLUTION: The hiking club hiked to state at 4mph. They got a ride back to town in a truck that went 20mph. If the round trip took 18 hours, how far was it from town to the park? I have to

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The hiking club hiked to state at 4mph. They got a ride back to town in a truck that went 20mph. If the round trip took 18 hours, how far was it from town to the park? I have to      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 944335: The hiking club hiked to state at 4mph. They got a ride back to town in a truck that went 20mph. If the round trip took 18 hours, how far was it from town to the park?
I have to solve using a system of equations. I honestly dont know how to set up the equations. after knowing how to do that i will be able to solve

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
d=distance from town to park
d%2F4+mph%2Bd%2F20+mph=18+hrs
You may want to stop here and try the rest on your own
To solve:multiply both sides by 4 mph
%28d%2A4mph%29%2F4+mph%2B%28d%2A4mph%29%2F20+mph=18hrs%284mph%29
d%2B%28d%2F5%29=72+mi combine terms on left side
%285d%2F5%29%2B%28d%2F5%29=72+mi
%285d%2Bd%29%2F5=72+mi Multiply each side by 5
6d=360+mi Divide each side by 6
d=60+mi
ANSWER The park is 60 miles from town
CHECK
It took 15 hrs to get there at 4mph and 3 hrs to return at 20 mph=18 hrs round trip