Two are moving in a circle towards each other. One runs the circle for 4 minutes, the other for 6 minutes.

Two are moving in a circle towards each other. One runs the circle for 4 minutes, the other for 6 minutes. In how many minutes does each meeting take place?

Let us take the length of the circle along which the two unknowns are moving equal to 1.

Therefore, according to the condition of the problem, the speed with which the first unknown moves, we can represent in the form of 1/4, and the speed with which the second unknown moves, we can represent in the form of 1/6.

Let’s determine the time that they need to cover the indicated distance together:

1: (1/4 + 1/6) = 1: (3/12 + 2/12) = 1: 5/12 = 12/5 = 2.4.

Answer: Two unknowns will meet on the circle every 2.4 minutes.