SOLUTION: A bus averages 6 kilometers an hour less than a passenger car. The bus travels 80 kilometers in the same time that the car travels 112 kilometers. Find the rate of each.

Question 184851: A bus averages 6 kilometers an hour less than a passenger car. The bus travels 80 kilometers in the same time that the car travels 112 kilometers. Find the rate of each.
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Step 1:
::
Let x=rate of the passenger car
_ x-6=rate of the bus
::
Note: distance=rate*time so time=distance/rate
::
Step 2: Write the algebraic equation
::
80/(x-6)=120/x
::
Step 3: multiply both sides by x(x-6)
::
80x=120(x-6)
80x=120x-720
40x-720=0
4x-72=0
x=72/4=18 :: Therefore, the passenger car travels at the rate of 18 km/hr.
x-6=18-6=12 :: Therefore, the bus travels 12 km in 1 hr.
::
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