SOLUTION: Two motorcycles are traveling at speeds of 120 kilometers per hour and 90 kilometers per hour respectively. If the faster one travels for 4 hours longer than the slower one and als

Question 1094047: Two motorcycles are traveling at speeds of 120 kilometers per hour and 90 kilometers per hour respectively. If the faster one travels for 4 hours longer than the slower one and also goes twice as far, how far did the slow one travel?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two motorcycles are traveling at speeds of 120 kilometers per hour and 90 kilometers per hour respectively.
If the faster one travels for 4 hours longer than the slower one and also goes twice as far, how far did the slow one travel
:
let t = the travel time of the slow one
then
90t = the distance the slow one traveled
and
(t+4) = travel time of the faster cycle
then
120(t+4) = the distance of the faster
:
A simple equation
120(t+4) = 2(90t)
120t + 480 = 180t
480 = 180t - 120t
480 = 60t
t = 480/60
t = 8 hrs
therefore
8 * 90 = 720 km traveled by the slower cycle
:
:
We can confirm this by find the dist traveled by the faster cycle (4hr longer)
120 * 12 = 1440 km which is twice as far as the slower
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