SOLUTION: Two trains start from the same station at the same time in the same direction in two parallel tracks.The fast train travels at a speed of 96 km/h and reaches its destination 3 1/2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two trains start from the same station at the same time in the same direction in two parallel tracks.The fast train travels at a speed of 96 km/h and reaches its destination 3 1/2       Log On


   

Question 985150: Two trains start from the same station at the same time in the same direction in two parallel tracks.The fast train travels at a speed of 96 km/h and reaches its destination 3 1/2 hours.If the other train reaches the same destination 1 hour 50 minutes later,find the speed of the second train?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!


FAST        96      3%261%2F2           d
SLOW        r      3%261%2F2%2B1%265%2F6        d


Each train going the same distance d, means the distance terms are equal.
96%283%261%2F2%29=r%2A%283%261%2F2%2B1%265%2F6%29

96%287%2F2%29=r%283%2B1%2B3%2F6%2B5%2F6%29

96%287%2F2%29=r%284%2B8%2F6%29

96%287%2F2%29=r%284%2B4%2F3%29

96%287%2F2%29=r%2816%2F3%29

r=96%287%2F2%29%283%2F16%29

r=24%287%2F2%29%283%2F4%29=6%287%2F2%29%283%29

r=3%2A7%2A3

highlight%28r=63%29