time = 2.8 hours
Step-by-step explanation:
Speed of 1st train = 60 miles per hour
Speed of the second train = 80 miles per hour
let the time both trains meet = t
distance of the trains apart = 392 miles
Speed = distance/time
distance = speed(time)
Distance covered by train 1 + Distance covered by train 2 = Distance apart
Distance covered by train 1 = speed of 1st train (time)
Distance covered by train 1 = 60(t) = 60t
Distance covered by train 2 = speed of 2nd train (time)
Distance covered by train 2 = 80(t) = 80t
60t + 80t = 392
140t = 392
t = 392/140
t = 2.8 hours