SOLUTION: Trains a and b leave the station at right angels at the same time. Train b travels 10 miles per hour faster than train A. After two hours, they are 100 miles apart. Find the speed

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Question 1142423: Trains a and b leave the station at right angels at the same time. Train b travels 10 miles per hour faster than train A. After two hours, they are 100 miles apart. Find the speed of each train
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The two trains will be 50 miles apart after one hour.

So if the two speeds in miles per hour are x and x+10,

x%5E2%2B%28x%2B10%29%5E2+=+50%5E2
x%5E2%2Bx%5E2%2B20x%2B100+=+2500
2x%5E2%2B20x-2400+=+0
x%5E2%2B10x-1200+=+0
%28x%2B40%29%28x-30%29+=+0

You can finish....