SOLUTION: Two trains, one traveling twice the speed of the other, start st the same time from stations which are 306km apart and travel towards each other. In 3 hours, the trains pass each o

Question 1093214: Two trains, one traveling twice the speed of the other, start st the same time from stations which are 306km apart and travel towards each other. In 3 hours, the trains pass each other. Frind the rate of each train
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
slower train at x kph
faster at 2x kph
total closing speed is their sum or 3x kph
in 3 hours, they pass so 3x kph* 3h units are km=9x km=306 km
x km=34 km
2x=68 km
In 3 hours the slower train travels 102 km and the faster 204 km.
the slower train travels at 34 kph and the faster at 68 kph.
Answer by greenestamps(13206) (Show Source): You can put this solution on YOUR website!

Another nice algebraic solution from Boreal...

But let's see if a more informal solution makes sense to you.

The stations are 306km apart; one train travels twice as fast as the other. That means that, at the time the trains pass each other, the faster train has covered 2/3 of the distance and the slower train has covered 1/3 of the distance.

2/3 of the 306km for the faster train is 204km; since both trains traveled for 3 hours before they passed each other, the speed of the faster train is 204/3 = 68km/hr. And then the speed of the slower train is half of that, or 34km/hr.
RELATED QUESTIONS
Two trains start out at the same time from stations that are 250 miles apart. One train... (answered by fractalier)
please help solve this problem, thanks Two trains, one traveling twice the speed of the... (answered by checkley79)
Two Trains start from two opposite directions towards each other. The stations from... (answered by Theo)
4.) Train A and B start at the same time, traveling toward each other from two stations... (answered by josgarithmetic)
Two trains start from stations A and B spaced 50kms apart at the same time and speed. As... (answered by Alan3354)
A passenger train and a freight train start at the same time from stations that are 405... (answered by richwmiller)
Two trains started at the same time from stations which are 440 miles apart and traveled (answered by richwmiller)
Two trains, 390 miles apart, start traveling toward each other at the same time and meet... (answered by lwsshak3)
Two trains, 90 miles apart, start heading toward each other at the same time. One... (answered by Paul)