SOLUTION: a train leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m

Question 151673: a train leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m will the faster train catch the slower one?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m will the faster train catch the slower one?
:
Find the time required for the faster train to catch up, then find the distance
Let t = time for the faster train
then
(t+1) = time for slower train
;
When this happens they will have traveled the same distance
Write a distance equation: Dist = speed * time
:
Fast train dist = slow train dist
40t = 35(t+1)
:
40t = 35t + 35
:
40t - 35t = 35
:
5t = 35
t =
t = 7 hrs
:
Find the dist using the slow train (travel time 8 hrs)
35 * 8 = 280 mi
:
Check solution using the fast train
40 * 7 = 280 mi
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