SOLUTION: Distance between Train 1 and Train 2=95 miles Avg speed Train 1 = 45mph, avg speed Train 2=60mph If both trains leave at the same time and travel toward each other but on paral

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Question 137278: Distance between Train 1 and Train 2=95 miles
Avg speed Train 1 = 45mph, avg speed Train 2=60mph
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?
Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. their relative speed of travel is the sum of their respective speeds, or 105mph.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Distance between Train 1 and Train 2=95 miles
Avg speed Train 1 = 45mph, avg speed Train 2=60mph
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?
:
Let t = travel time (in hrs) until they are opposite each other
:
Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.
:
write a distance equation from this fact: Dist = speed * time
;
Train 1 dist + train 2 dist = 95 mi
45t + 60t = 95
:
105t = 95
t = 95%2F105
t = .90476 hrs
or
.90476 * 60 = 54.3 min
:
:
Check solution by finding the total of the distances the two train travel
45(.90476) + 60(.90476) =
40.7 + 54.3 = 95 mi