SOLUTION: Solving Problem Using Linear System 18. A train leaves Toronto for Montreal at the same time as another train leaves Montreal for Toronto. The cities are 500 km apart. The trains

Question 185841: Solving Problem Using Linear System
18. A train leaves Toronto for Montreal at the same time as another train leaves Montreal for Toronto. The cities are 500 km apart. The trains pass each other 2 h later. The train from Montreal is travelling 50 km/h faster than the one from Toronto do the trains pass each other?
Can you please help me with this question?
Thanks a lot!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
8. A train leaves Toronto for Montreal at the same time as another train leaves
Montreal for Toronto. The cities are 500 km apart. The trains pass each other
2 h later. The train from Montreal is traveling 50 km/h faster than the one
from Toronto. Assume you mean,"How far from Toronto do the trains pass each other?"
:
Let s = the speed of the train from Toronto
then
(s+50) = the speed of the train from Montreal
:
When the two trains meet, they will have traveled a total of 500 mi
Write a distance equation; dist = time * speed
2(s+50) + 2s = 500
2s + 100 + 2s = 500
2s + 2s = 500 - 100
4s = 400
s = 100 km/hr is the Toronto train
in 2 hrs the the Toronto train will be 200 km from Toronto
and
check it by finding that 2(150) = 300 km is the Montreal train from Montreal
RELATED QUESTIONS
Please help me solve this equation: The train leaves Toronto for Montreal at the same... (answered by josmiceli)

A train leaves Toronto for Montreal at the same time as another train leaves Montreal for (answered by lwsshak3)

A train leaves toronto to Montreal travelling (60km)/(h ) a second train leaves toronto... (answered by josmiceli,greenestamps,MathTherapy)

A train leaves Toronto for Montr�al at the same time as another train leaves Montr�al... (answered by ankor@dixie-net.com)

A train leaves Toronto for Ottawa, a distance of 545 km, at a speed of 100 km/h. At the... (answered by Edwin McCravy)

A train leaves Toronto for Ottawa, a distance of 545 km, at a speed of 100 km/h. At the... (answered by htmentor)

At noon, a train leaves New York for Toronto while another train leaves Toronto for New... (answered by ptfile,MathTherapy)

if a train leaves at 2 o clock and another train leaves at 4 o clock at the same train... (answered by user_dude2008)

One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New (answered by bucky)