Question

A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM, heading towards each other. The distance between the cities is 360 miles. The freight train is travelling at 50 mph, the passenger train is travelling at 70 mph. At what time will the trains pass each other

Answer 1

Answer: Both trains would meet at 1 pm

Step-by-step explanation:

Let t represent the time at which both trains will pass each other.

The distance between the cities is 360 miles. This means that by the time both trains meet, the total distance covered would be 360 miles.

Distance = speed × time

The freight train is travelling at 50 mph. Distance covered by the freight train in t hours is 50t.

The passenger train is travelling at 70 mph. Distance covered by the passenger train in t hours is 70t.

Since the total distance covered is 360 miles, it means that

50t + 70t = 360

120t = 360

t = 360/120

t = 3 hours

Both trains would meet at 1 pm