SOLUTION: A truck can travel 315 miles in the same time that it takes a car to travel 360 miles. if the trucks rate is 5 mph slower than the car's,find the average rate for each

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Question 911252: A truck can travel 315 miles in the same time that it takes a car to travel 360 miles. if the trucks rate is 5 mph slower than the car's,find the average rate for each
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

r the car's speed
t = D/r, times equal the question states
315%2F%28r-5%29+=+360%2Fr
315r = 360r - 1800
1800 = 45r
40mph = r, the car's speed. the truck 35mph40-5
and checking...
315%2F35+=+360%2F40

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
r*t=d
t=d/r
t=315/r
(r+5)*t=360
t=360/(r+5)
t=315/r
315/r=360/(r+5)
360*r=315*(r+5)
360*r=315*r+315*5
45*r=315*5
r=1575/(45)
r=35 mph truck
r+5=40 mph car
codeddfst