SOLUTION: A CAR TRAVELS 50 MILES IN THE SAME TIME A PLANE TRAVELS 180 MILES. THE SPEED OF THE PLANE IS 143 MPH FASTER THAN THE SPEED OF THE CAR, FIND THE SPEED OF THE CAR. Ive been workin

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Question 216446: A CAR TRAVELS 50 MILES IN THE SAME TIME A PLANE TRAVELS 180 MILES. THE SPEED OF THE PLANE IS 143 MPH FASTER THAN THE SPEED OF THE CAR, FIND THE SPEED OF THE CAR.
Ive been working on this for days
please help..thank you so much
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

First thing: Stop typing your posts in ALL CAPS. It is the electronic equivalent of shouting and is therefore both annoying and unacceptably rude behavior.

Use distance equals rate times time or

Rearrange it so that time is expressed in terms of distance and rate, thus:

So, the time required for the car to travel 50 miles is:

where is the speed of the car.

Since is the speed of the car and the plane travels 143 mph faster than that, the speed of the plane must be

Now you can write a statement for the time it takes the plane to travel 180 miles:

But the problem says that these two times are equal, so:

Cross-multiply:

Just solve for

John