Question

Kaitlin and Miguel walk around a track. Kaitlin walks each lap in 6 minutes. Miguel walks each lap in 9 minutes. The two of them begin at the starting line at the

same time. T hey 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?
How many laps does Kaitlin complete?
How many laps does Miguel complete?

Answer 1

Kaitlin and Miguel will meet again at the starting line after 18 minutes. Kaitlin completes 3 laps, while Miguel completes 2 laps.

Step-by-step explanation:

To find the time it takes for Kaitlin and Miguel to meet again at the starting line, we need to find the least common multiple (LCM) of their lap times. Kaitlin's lap time is 6 minutes and Miguel's lap time is 9 minutes. The LCM of 6 and 9 is 18. Therefore, it will take them 18 minutes to meet again at the starting line.

To find the number of laps Kaitlin completes, we divide the total time taken (18 minutes) by her lap time (6 minutes): 18 / 6 = 3 laps. Therefore, Kaitlin completes 3 laps.

To find the number of laps Miguel completes, we divide the total time taken (18 minutes) by his lap time (9 minutes): 18 / 9 = 2 laps. Therefore, Miguel completes 2 laps.