X completes one round of a running track in 8 minutes and Y completes it in 6 minutes. How long will it take for both to arrive at their starting point together, if they
start at the same time and maintain their speed?

It will be 24 mins

Step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus