Question

Keith and Donna walk around a track. Keith walks each lap in 12 minutes. Donna walks each lap in 8 minutes. The two of them begin at the starting line at the

same time. They walk until they meet again at the starting line.
Answer the following questions.
How much time does it take for them to meet again at the starting line?
I minutes
How many laps does Keith complete?
laps
How many laps does Donna complete?
laps

Answer 1

1. It will take 24 minutes for Keith and Donna to meet again at the starting line.

2. Keith will complete 2 laps

3. Donna will complete 3 laps.

Explanation:

Factor two numbers 12 and 8:

`12=\underline{2\cdot 2}\cdot 3\\ \\8=\underline{2\cdot 2}\cdot 2`

Find LCM(12,8):

`LCM(12,8)=\underline{2\cdot 2}\cdot 3\cdot 2=24`

1. It will take 24 minutes for Keith and Donna to meet again at the starting line.

2. Keith will complete 2 laps

3. Donna will complete 3 laps.