SOLUTION: a train traveling at 40 moh leaves a certain town. One hour later, a bus traveling at 50 mph leaves for the same town and arrives at the same time as the train. If both the train a

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a train traveling at 40 moh leaves a certain town. One hour later, a bus traveling at 50 mph leaves for the same town and arrives at the same time as the train. If both the train a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 284368: a train traveling at 40 moh leaves a certain town. One hour later, a bus traveling at 50 mph leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started?
Answer by brucewill(101) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = Hours the train travels
Thefore, x-1 = Hours the bus travels.
Since the distances are the same, equate the two sets of hours.
40x+=+50%28x-1%29
===
40x+=+50x+-+50
===
-10x+=+-50
===
x+=+highlight%285%29
===
Proof:
The train travels 5 hours * 40 MPH = 200 miles
the bus travels 4 hours * 50 MPH = 200 miles.