SOLUTION: A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph. The distance fro
Algebra.Com
Question 182430This question is from textbook prealgebra and introductory algebra
: A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph. The distance from home to work is 25 mi, and the total time for the trip was 2 hrs. How far did the motorcycle go before it broke down?
This question is from textbook prealgebra and introductory algebra
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph. The distance from home to work is 25 mi, and the total time for the trip was 2 hrs. How far did the motorcycle go before it broke down?
---------------------------------------------------------------------
Walking DATA:
distance = x miles ; rate = 6 mph ; time = x/6 hrs
----------------------------------------------------
Motocycle DATA:
rate = 45 mph ; distance = (25-x) mi ; time = (25-x)/45 hrs
----------------------------------------------------------
Equation :
time + time = 2 hrs
x/6 + (25-x)/45 = 2
45x + 6(25-x) = 2*6*45
45x + 150 - 6x = 6*90
39x = 540 - 150
39x = 390
x = 10 miles (distance walked)
25-x = 15 miles (distance ridden)
======================================
Cheers,
Stan H.
RELATED QUESTIONS
A motorcycle breaks down and the rider must walk the rest of the way to work. The... (answered by stanbon)
A motorcycle breaks down and the rider must walk the rest of the way to work. The... (answered by scott8148)
A motorcycle breaks down and the rider must walk the rest of the way to work. The... (answered by rwm)
A motorcycle breaks down and the rider must walk the rest of the way to work. The... (answered by ankor@dixie-net.com)
a mortocycle breaks down and the rider has to walk the rest of the way to work. The... (answered by bucky)
A motorcycle breaks down and the rider has to walk the rest of the way to work. The... (answered by josmiceli)
A motorcycle breaks down and the rider has to walk the rest of the way to work. The... (answered by ankor@dixie-net.com)
A motorcycle breaks down and the rider has to walk the rest of the way to work.The... (answered by ankor@dixie-net.com)
a motorcycle breaks down and the rider must walk the rest of the way to work.The... (answered by checkley77,vleith)