SOLUTION: a motorcycle breaks down and the rider must walk the rest of the way to work.The motorcyle was riden 45mph and the rider walks at the speed of 6mph. the distance from home to work

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: a motorcycle breaks down and the rider must walk the rest of the way to work.The motorcyle was riden 45mph and the rider walks at the speed of 6mph. the distance from home to work      Log On


   



Question 165249: a motorcycle breaks down and the rider must walk the rest of the way to work.The motorcyle was riden 45mph and the rider walks at the speed of 6mph. the distance from home to work is 25mi.And the total of the trip was 2hrs. How far did the motorcycle go before it broke down?
Question how do you set this system of equation up?
ISBN-10 0-321-33191-5
Chapter 13

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
45x+6(2-x)=25
45x+12-6x=25
39x=25-12
39x=13
x=13/39
x=.333 hours for the 45 mph trip.
45*.333=15 miles is the motorcycle trip distance.
Proof:
45*.333+6(2-.333)=25
15+6(1.667)=25
15+10=25
25=25