SOLUTION: The distance between Toronto and Ottawa is 350 km. A train leaves each station and the train leaving Ottawa is 10 km/h faster then the train leaving toronto. They meet after 2.5

Algebra.Com
Question 1050751: The distance between Toronto and Ottawa is 350 km. A train leaves each station and the train leaving Ottawa is 10 km/h faster then the train leaving toronto. They meet after 2.5 hours how fast is each train travelling?
Found 2 solutions by josmiceli, advanced_Learner:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let =the speed of T to O train in km/hr
= the speed of the O to T train in km/hr
Let = the distance in km the T to O train travels until they meet
= the distance in km the O to T train travels until they meet
---------------------------------------
Equation for T to O train:
(1)
Eqation for O to T train:
(2)
----------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and

----------------------
The T to O train travels 65 km/hr
The O to T train travels 75 km/hr
--------------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
Toronto data
speed
time
distance speed
Ottawa
speed
time
distance *
we know total distance is
+ *=

= km/h for toronto
for ottawa which is equals km/h

RELATED QUESTIONS

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)
A train leaves Toronto for Montréal at the same time as another train leaves Montréal... (answered by ankor@dixie-net.com)
An eastbound train leaves Vancouver for Toronto, a distance of about 4370 km, travelling... (answered by lwsshak3)
One train leaves a station heading west. A second train, heading east, leaves the same... (answered by lynnlo)
The distance between train station A and train station B is 180 kilometers. Train station (answered by stanbon)
Alana drove to Ottawa at 97 km/h. she drove a total of 845 km. how long did it take her... (answered by JulietG)
Solving Problem Using Linear System 18. A train leaves Toronto for Montreal at the same... (answered by ankor@dixie-net.com)
Distance between X and Y railway stations are 350 km. A train travel from X to Y in a... (answered by josgarithmetic)