SOLUTION: a car can travel 75 miles in the same amount of time that it takes a moped to travel 25 miles if the moped is traveling at 40 mp less than the car, what is the rate of each

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Question 401527: a car can travel 75 miles in the same amount of time that it takes a moped to travel 25 miles if the moped is traveling at 40 mp less than the car, what is the rate of each
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = time for both
Let v = velocity of car
Given:
for car:
(1) 75+=+v%2At
for moped
(2) 25+=+%28v+-+40%29%2At
-----------------
From (1):
t+=+75%2Fv
(2) 25+=+%28v+-+40%29%2A%2875%2Fv%29
25+=+75+-+3000%2Fv
25v+=+75v+-+3000
50v+=+3000
v+=+60
v+-+40+=+20
The car's rate is 60 mi/hr
The moped's rat is 20 mi/hr