SOLUTION: Two trains started a journe at the same time from two places 300km apart. They travelled towards each other, one train travelling twice as fast as the other. They met 3/2 hours aft

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Question 1130489: Two trains started a journe at the same time from two places 300km apart. They travelled towards each other, one train travelling twice as fast as the other. They met 3/2 hours after they started, find the speed of the trains
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two trains started a journey at the same time from two places 300km apart.
They travelled towards each other, one train travelling twice as fast as the other.
They met 3/2 hours after they started, find the speed of the trains
:
let s = speed of the slower train
then
2s = speed of the faster
:
When the trains meet the total of their distances = 300 km
Write a distance equation; dist = time * speed
1.5(s) + 1.5(2s) = 300
1.5s + 3s = 300
4.5s = 300
s = 300/4.5
s = 662%2F3 km/hr is speed of the slower train
and
2(662%2F3) = 1331%2F3 km is the speed of the faster train
:
:
Check this, find the actual dist each train traveled
1.5(66.67) = 100 km
1.5(133.33) = 200 km
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total distance 300 km