SOLUTION: Two trains left the train station traveling in opposite direction. One traveled 60 mph until it reached its next stop. The other traveled for 30 mins less at 70 mph until it reache

Question 515958: Two trains left the train station traveling in opposite direction. One traveled 60 mph until it reached its next stop. The other traveled for 30 mins less at 70 mph until it reached its next stop. If the 2 stops are 355 miles apart, how many hours did each train travel?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two trains left the train station traveling in opposite direction.
One traveled 60 mph until it reached its next stop.
The other traveled for 30 mins less at 70 mph until it reached its next stop.
If the 2 stops are 355 miles apart, how many hours did each train travel?
:
Change 30 min to .5 hrs
:
Let t = travel time of the 60 mph train
then
(t-.5) = travel time of the 70 mph
:
The total distance traveled by both trains = 355 miles
:
Write a distance equation, dist = speed * time
:
60t + 70(t-.5) = 355
60t + 70t - 35 = 355
130t = 355 + 35
130t = 390
t = 390/130
t = 3 hrs; travel time of the 60 mph train
and
3 - .5 = 2.5 hrs; travel time of the 70 mph train
:
:
Check this by finding the distance each train traveled
60(3) = 180 mi
70(2.5)=175 mi
---------------
total; 355 mi
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