SOLUTION: Hi - could someone please provide some help on this one? Thanks so very much in advance! One train leaves a station heading due west. Two hours later a second train leaves the

Question 73692: Hi - could someone please provide some help on this one? Thanks so very much in advance!
One train leaves a station heading due west. Two hours later a second train leaves the same station heading due east. The second train is traveling 15mi/h faster than the first. Six hours after the second train leaves, the two trains are 580 miles apart. Find the rate at which each train is traveling.
(I think I am getting confused by the fact that the second train leaves 2 hours after the first rather than at the same time)
Thanks again for any help on this one :>)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One train leaves a station heading due west. Two hours later a second train leaves the same station heading due east. The second train is traveling 15mi/h faster than the first. Six hours after the second train leaves, the two trains are 580 miles apart. Find the rate at which each train is traveling.
:
Let s = speed of train 1
(s+15) = speed of train 2
:
Since train 1 started two hours earlier, it has been traveling for 8 hrs;
While the train 2 has been traveling 6 hrs:
:
Dist = time * speed
:
Train 1 dist + train 2 dist = 580
8s + 6(s+15) = 580
:
8s + 6s + 90 = 580
:
14s = 580 - 90
:
14s = 490
:
s = 490/14
:
s = 35 mph, train 1's speed
:
Train 2's speed = 35 + 15 = 50 mph
:
:
Check:
8*35 + 6*50 =
280 + 300 = 580
RELATED QUESTIONS
Train A leaves Montreal heading to BC . Train B leaves at 9 am on a parallel track also... (answered by ankor@dixie-net.com)

Train T leaves the station at 10am. Twenty minutes later, Train G leaves the same... (answered by josgarithmetic,ikleyn)

I have been racking my brain for hours over this one, and I can't seem to find any info... (answered by Paul)

This is a tough one. Could you please help? Trains A and B are traveling in the same... (answered by mananth)

Hi! Could someone please help me simplify ^3(sqrt)48 Thanks so much for your help in... (answered by stanbon)

Hi! I would like some help to solve this problem: A passenger train traveling at 50... (answered by mananth,ghjg)

A passenger train leaves a train depot three hours after a freight train leaves the same... (answered by ankor@dixie-net.com)

I am a little stumped on this one. Could you please help? Use the intercepts to graph... (answered by ewatrrr)

Hi, I play a game on my itouch that involes this math problem, and Ive done these... (answered by scott8148)