SOLUTION: An express bus travels 300 miles in the same amount of time as a car travels 270 miles. The rate of the car is 6 mph less than the rate of the bus. Find the rate of the car.

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Question 1159675: An express bus travels 300 miles in the same amount of time as a car travels 270 miles. The rate of the car is 6 mph less than the rate of the bus. Find the rate of the car.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the rate of the cae.


Then the rate of the bus is (x+6) mph.


Your equation is


    300%2F%28x%2B6%29 = 270%2Fx.


Cross multiply


    300x = 270*(x+6)

    300x = 270x + 270*6

    30x  = 270*6

      x = 270%2A6%29%2F30 = 9*6 = 54     ANSWER

Solved.


Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
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bus travels 300 miles in the same amount of time as a car travels 270 miles. The rate of the car is 6 mph less than the rate of the bus. Find the rate of the car.
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          SPEED        TIME           DISTANCE

BUS       r+6          300/(r+6)       300

CAR       r            270/r           270

Question asks for r, and is found from 300%2F%28r%2B6%29=270%2Fr.