SOLUTION: two trains are 330 miles apart. one train is traveling 20 mph faster than the other. find the speed of each train if they are traveling toward each other and will meet in 3 hours.

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Question 410561: two trains are 330 miles apart. one train is traveling 20 mph faster than the other. find the speed of each train if they are traveling toward each other and will meet in 3 hours.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (x+20mph)represent their respective speeds.  t = D/r

Question states***

  330/x + 330/(x+20) = 3hr

Solving for x

 330(x+20) + 330x = 3x(x+20)

  660x + 6600 = 3x^2 + 60x

   3x^2 -600x - 6600 = 0

  3(x^2 - 200x - 2200) = 0

x+=+%28200+%2B-+sqrt%28+48800+%29%29%2F%282%29+

  x = 210.4536   |negative solution tossed out for speed

CHECKING our Answer***

  330/210 + 330/230 = 3hr  |to the nearest whole number