SOLUTION: two airplanes left airports which are 400 miles apart and flew towards each other. one plane flew 10 miles per hour faster than the other. if they passed each other at the end of o

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two airplanes left airports which are 400 miles apart and flew towards each other. one plane flew 10 miles per hour faster than the other. if they passed each other at the end of o      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 997469: two airplanes left airports which are 400 miles apart and flew towards each other. one plane flew 10 miles per hour faster than the other. if they passed each other at the end of one hour and fifteen minutes, what were their rates?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D relates uniform rate, time, distance.

The two vehicles passed each other at time t and the sum of distances traveled was d, the distance between the two departure points.
              speed     time      distance
vehicle1       r         t        rt
vehicle2       r+s       t        (r+s)t
total                              d

highlight_green%28rt%2B%28r%2Bs%29t=d%29
rt%2Brt%2Bst=d
2rt%2Bst=d
2rt=d-st
highlight%28r=%28d-st%29%2F%282t%29%29