Alice and Bob race two toy trains around a circular track. The trains move in the same direction and they meet every 120 seconds. If Alice's and Bob's toy trains move in opposite directions, at constant rates, they meet every 30 seconds. If the track is 1800 m long, what is the speed of each toy train?

Step-by-step explanation:

Given that Alice and Bob race two toy trains around a circular track. The trains move in the same direction and they meet every 120 seconds. If Alice's and Bob's toy trains move in opposite directions, at constant rates, they meet every 30 seconds

Circular track is 1800 m.

Let speed be x and y respectively

When in same direction relative speed = x-y and when in opposite directions = x+y

30 (x+y) = 1800

x+y = 60

120 (x-y) = 1800

x-y = 15

Solving x = 37.5 m/hr and y = 12.5 per hour.