# SOLUTION: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours leaves for the same town and arrives at the same time as th

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours leaves for the same town and arrives at the same time as th      Log On

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 Click here to see ALL problems on Travel Word Problems Question 33543: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours 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? Please help me I think the answer is 200 but I don't know how to set the problem upFound 2 solutions by Cintchr, Earlsdon:Answer by Cintchr(481)   (Show Source): You can put this solution on YOUR website! In this case, the distance for both is the same, so for our convenience the train's variables are in caps. r=50 t= T-1 (it started an hour later) R=40 T= this is what we will solve for Solve for T Subtract 50T divide by -10 So if the Train takes 5 hours, the bus takes 4. CHECK and this IS the distance. This is a duplicate of problem 33542 Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!You can use the distance formula: where: d = distance travelled, r = rate of travel (speed), and t = time of travel. For the train: 1) For the bus: 2) The distance is the same in each case, so d1 = d2, therefore, we can set: But the train travels one hour longer than the bus, so t1 = t2+1 Making this substitution, we get: Simplify and solve for t2. Subtract 40(t20 from both sides of the equation. Divide both sides by 10. Now substitute this into equation 2) and solve for d2: miles. The town is 200 miles from the starting point.