Question

marisol and paul start walking a circular path repeatedly at the same time. marisol can walk around the path in 12 minutes and paul can do it in 9 minutes. how many minutes will they have to walk until they are both back at the beginning of the path at the same time?

Answer 1

Marisol and Paul will have to walk for 36 minutes until they are both back at the beginning of the circular path at the same time, which is the Least Common Multiple of their respective walking times.

Step-by-step explanation:

To find out how many minutes Marisol and Paul will have to walk until they are both back at the beginning of the path at the same time, we need to calculate the Least Common Multiple (LCM) of their walking times around the path. Marisol can walk the circular path in 12 minutes, and Paul can do it in 9 minutes.

The multiples of 12 are 12, 24, 36, 48, ..., and the multiples of 9 are 9, 18, 27, 36, ....

The first common multiple of both sets is 36.

Therefore, they will both be back at the starting point together after 36 minutes.

Answer 2

Marisol and Paul will be back at the beginning of the path at the same time after 36 minutes.

To find the amount of time it takes for Marisol and Paul to be back at the

beginning of the circular path at the same time, you need to find the least

common multiple (LCM) of their individual walking times.

Marisol's walking time = 12 minutes

Paul's walking time = 9 minutes

The LCM of 12 and 9 is 36.

Therefore, Marisol and Paul will be back at the beginning of the path at the same time after 36 minutes.