SOLUTION: One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The rate of the second plane was 50 mi/h faster than the rate of the first plane. How fast did ea

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Question 431703: One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The rate of the second plane was 50 mi/h faster than the rate of the first plane. How fast did each plane fly?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Plane A x 800 miles
Plane B x+15 1000 miles

t=d/r Time Plane A = Time Plane B
800/x=1000/(x+15)
Cross multiply
800(x+15)=1000* x
800x+12000=1000 x
1000x-800x=12000
200x=12000
/200
x=60 Plane A mph
75 Plane B mph

Answer by ikleyn(53427) About Me  (Show Source):
You can put this solution on YOUR website!
.
One plane traveled 800 miles in the same time a second plane traveled 1,000 miles.
The rate of the second plane was 50 mi/h faster than the rate of the first plane.
How fast did each plane fly?
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        Calculations in the post by @mananth are irrelevant to the given problem in the post.
       I came to provide a correct solution. 


Plane A x     800 miles

Plane B x+50 1000 miles


Write time equation, saying that the fly time is the same in both cases


    800%2Fx = 1000%2F%28x%2B50%29


To solve it, cross multiply; then simplify

    800*(x + 50) = 1000*x

    8*(x + 50)   = 10*x

    8x + 400     = 10x

    10x - 8x     = 400

       2x        = 400

        x        = 400/2 = 200.


ANSWER.  One plane speed is 200 mi/h;  the other plane speed is 200+50 = 250 mi/h

         Make a check to assure that the answer is valid.

Solved.