Step-by-step explanation:
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
