SOLUTION: A train traveling at 40 MPH leaves for 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 train &
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Question 218192: A train traveling at 40 MPH leaves for 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 train & bus traveled in a straight line how far is the town from where they started? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A train traveling at 40 MPH leaves for 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 train & bus traveled in a straight line how far is the town from where they started?
:
Find the times of the train and the bus first.
:
Let t = time of the train
then
(t-1) = time of the bus
;
Write a distance equation (they traveled the same distance)
:
bus dist = train dist
50(t-1) = 40t
:
50t - 50 = 40t
50t - 40t = 50
10t = 50
t =
t = 5 hrs time of the train
;
Find the distance:
5*40 = 200 mi
and
4*50 = 200 mi
