SOLUTION: You and your friend leave home at the same time. Your friend travels by train at 45 mph directly east while you travel by bus 50 mph directly south. You are talking on a cell pho

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Question 375387: You and your friend leave home at the same time. Your friend travels by train at 45 mph directly east while you travel by bus 50 mph directly south. You are talking on a cell phone, but your plan charges extra if the phones are 100 miles or more apart. How long will you and your friend be able to talk before the charges increase?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You and your friend leave home at the same time. Your friend travels by train at 45 mph directly east while you travel by bus 50 mph directly south. You are talking on a cell phone, but your plan charges extra if the phones are 100 miles or more apart. How long will you and your friend be able to talk before the charges increase?
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The distance is the hypotenuse.
One side = 45t
Side 2 = 50t
hyp+=+sqrt%28+%2845t%29%5E2+%2B+%2850t%29%5E2%29+=+sqrt%284525t%5E2%29
Find t for sqrt%284525t%5E2%29+=+100
t = 100/sqrt(4525)
t = 1.4866 hours