Pamela and David walk on the same track. It takes Pamela 9 minutes and David 6 minutes to walk one lap. If they start walking at the same time, how many laps will each have walked when they cross the starting point together for the first time?
3 laps
To find out how many laps Pamela and David will have walked when they cross the starting point together for the first time, we need to consider the least common multiple (LCM) of their lap times.
The LCM of 9 and 6 is 18. This means that it will take 18 minutes for both Pamela and David to simultaneously cross the starting point.
Now we can calculate how many laps each of them will have walked in 18 minutes.
Pamela walks one lap every 9 minutes. So, in 18 minutes, she will have walked 18 / 9 = 2 laps.
David walks one lap every 6 minutes. Therefore, in 18 minutes, he will have walked 18 / 6 = 3 laps.
So, Pamela will have walked 2 laps and David will have walked 3 laps when they cross the starting point together for the first time.