SOLUTION: Distance between A and B railway stations are 300km. Train X takes 12 hours to reach B from A and return back to A. Also the train stops in B for 2 hours. After 10hours train

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Question 1068625: Distance between A and B railway stations are 300km. Train X takes 12 hours to reach B from A and return back to A. Also the train stops in B for 2 hours. After 10hours train Y departed from A to B with train X's' speed.
What is the distance traveled by train Y when meeting both trains?
What is the time when meeting both trains If train x departed from A at 8.00 A.M?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Distance between A and B railway stations are 300km.
Train X takes 12 hours to reach B from A and return back to A.
Also the train stops in B for 2 hours.
After 10hours train Y departed from A to B with train X's' speed.
What is the distance traveled by train Y when meeting both trains?
What is the time when meeting both trains If train x departed from A at 8.00 A.M?
:
Find the speed of Train x. 12 hrs for a round trip of 600km, with a 2 hr stop.
:
Travel time is 10 hrs
600%2F10 = 60 km/hr
:
Given that train y speed is also 60 km/hr, leaves 10 hrs later.
:
Time line of train x
8:00, departs A
1:00 PM arr B, (300/60 = 5 hrs)
3:00 PM departs B (after a two hr layover)
:
Time line of train y
6:00 PM departs B (10 hr after x)
:
let t = the travel time of x to the meeting (left B at 3 PM)
then
(t-3) = travel time of y to the meeting; (left A, 3 hrs later, 6 PM)
Write a distance equation; dist = speed * time
60t + 60(t-3) = 300
60t + 60t - 180 = 300
120t = 300 + 180
120t = 480
t = 480/120
t = 4 hrs
Train meeting time: 3 PM + 4 hrs = 7 PM
" What is the distance traveled by train Y when meeting both trains?"
Train y traveled 1 hr to the meeting, 1 * 60 = 60 mi

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