Question

Nora and Jewel are working out with two identical sets of weight machines at a health club. It takes Nora 8 minutes to do a circuit on the machines. It takes Jewel 12 minutes to do the same circuit. If they start at the same time and keep repeating the circuit. how long before they meet at the starting point?

Group of answer choices
a- 48
b- 8
c- 24
d- 2

Answer 1

Nora and Jewel will meet at the starting point every 24 minutes since the least common multiple of their circuit times of 8 and 12 minutes is 24.

Step-by-step explanation:

Nora and Jewel are using two identical sets of weight machines and start their circuit at the same time. Nora completes the circuit in 8 minutes and Jewel in 12 minutes. To find how long it will take for them to meet at the starting point again, we need to calculate the least common multiple (LCM) of their circuit times.

The LCM of 8 and 12 minutes is 24 minutes, which is the smallest number that both 8 and 12 will divide into without any remainder. Therefore, Nora and Jewel will meet at the starting point every 24 minutes if they continue their circuits at the constant rates.

In the options provided, c- 24 is the correct answer.