SOLUTION: two railway stations are at a distance of 98 km from each other.one train cover this distance in 40 minutes less than the other.the speed of the first train is 12 km/h faster than

Question 747202: two railway stations are at a distance of 98 km from each other.one train cover this distance in 40 minutes less than the other.the speed of the first train is 12 km/h faster than than the second.determine the speeds of both the trains.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
two railway stations are at a distance of 98 km from each other.
one train cover this distance in 40 minutes less than the other.
the speed of the first train is 12 km/h faster than than the second.
determine the speeds of both the trains.
:
Let s = speed of the slower train
then
(s+12) = speed of the faster train
:
Change 40 min to 2/3 hr
:
Write a time equation; time = dist/speed
:
slow train time - fast train time = 40 min
- =
multiply by 3s(s+12), resulting in:
98(3(s+12)) - 98(3s) = 2s(s+12)
294s + 3528 - 294s = 2s^2 + 24s
a quadratic equation from this
2s^2 + 24s - 3528 = 0
simplify, divide by 2:
s^2 + 12s - 1764 = 0
solve this using the quadratic formula, I got about 36.4 mph for the slow train
RELATED QUESTIONS
Two railway stations are at a distance of 96 km from each other. One train covers this... (answered by Alan3354)

Distance between X and Y railway stations are 350 km. A train travel from X to Y in a... (answered by josgarithmetic)

Two trains start at the same time from two stations and proceed towards each other with... (answered by josmiceli)

The distance between 2 stations a and b is 200 km .2 trains start at the same time from... (answered by josgarithmetic)

The distance between two stations is 340 km. Two trains start simultaneously from these... (answered by ikleyn)

The distance between two stations A and B is 250 km. Two trains start simultaneously from (answered by richwmiller)

The distance between two stations A and B is 300 km. Two motor cyclists start... (answered by mananth)

the distance between two stations A and B is 250 km. two trains starts simultaneously... (answered by Stitch)

The distance between two stations is 340 km. Two trains start simultaneously from these... (answered by richwmiller)