Two trains leave stations, 308 miles apart at the same time and travel towards each other. One train travels at 60 mph while the other travels at 80 mph how long will it take for two trains to meet

Question

two trains leave station 308 miles apart at the same time and travel towards each other. One train travels at 60 mph while the other travels at 80 mph how long will it take for the two trains to meet do not do any rounding.

Answer 1

You can view this problem as one vehicle traveling 308 miles at 60 mph + 80 mph = 140 mph, since the trains are headed straight for each other.

distance = rate * time, so

time = distance / rate = 308 miles / 140 mph

time = 2.2 hours

Answer 2

distance = rate×time

d=rt

t =d/r

Time for traveling d miles at 60 mph is the same time to travel 380-d miles at 80 mph.

d/60 = (308-d)/80

80d = 60(308-d)

140d = 60(308)

d = 60(308)/140 = 132 miles

d/60 = 2.2 hrs

(308-132)/80 = 2.2 hrs