Question 358081: A commuter plan travels 90 miles per hour faster than a passenger bus. The commuter plane travels 525 miles in the same time it takes the bus to travel 210 miles. Find the speed of each. Thank You
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! The distance formula D = rt can be written as t = D/r when looking for time where D = distance, r = rate or speed and t = time in hours.
We are searching for time.
(total distance for commuter plan)/(x + 90) = (total distance for bus)/x
Now, (x + 90) tells us that the commuter plan is 90 mph faster than the bus' rate represented here by x.
The final equation looks like this:
525/(x + 90) = 210/x
After we cross-multiply, x = 60.
I have not found the answer. I simply found the value of x. I need to find the speed of each.
So, x = bus speed or 60 mph.
The commuter plan's speed is 60 + 90 or 150 mph.
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