SOLUTION: The speed of a car is 8mph faster than the speed of a bus the car travels 270 miles in the same time it takes the bus to travel 234miles find the speed of the car and the bus.

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Question 804349: The speed of a car is 8mph faster than the speed of a bus the car travels 270 miles in the same time it takes the bus to travel 234miles find the speed of the car and the bus.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The speed of a car is 8mph faster than the speed of a bus
the car travels 270 miles in the same time it takes the bus to travel 234miles
find the speed of the car and the bus.
:
Let s = speed of the bus
then
(s+8) = speed of the car
:
Write a time equation; time = dist/speed
:
car time = bus time
270%2F%28%28s%2B8%29%29 = 234%2Fs
Cross multiply
270s = 324(s+8)
270s = 234s + 1872
270s - 234s = 1872
36s = 1872
s = 1872/36
s = 52 mph is the bus
then, obviously:
52 + 8 = 60 mph is the car
:
:
Confirm this, see if the times are the same
270/60 = 4.5 hrs
324/52 = 4.5 hrs