SOLUTION: The distance between two stations A & B is 220km.A train leaves A towards B at an avg speed of 80km/hr.after half an hour another train leaves B towards A at avg speed of 100km/hr.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The distance between two stations A & B is 220km.A train leaves A towards B at an avg speed of 80km/hr.after half an hour another train leaves B towards A at avg speed of 100km/hr.      Log On

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Question 831739: The distance between two stations A & B is 220km.A train leaves A towards B at an avg speed of 80km/hr.after half an hour another train leaves B towards A at avg speed of 100km/hr.find distance from A to the point where the two trains meet ??
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Let h equal the time that the B to A train traveled.

A to B______________80______________(1/2)+h_____________(___)
B to A______________100_____________(h)_________________(___)
TOTAL___________________________________________________220


Use R*T=D to find expressions for each distance.

A to B______________80______________(1/2)+h_____________80(h+1/2)
B to A______________100_____________(h)_________________100h
TOTAL___________________________________________________220

EQUATION: 80%28h%2B1%2F2%29%2B100h=220.
Solve for h.
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80h+40+100h=220
8h+10h+4=22
18h+4=22
18h=18
highlight%28h=1%29 hour, the B to A train.
The A to B train traveled highlight%28h=1%261%2F2%29 hour.