Justin and Mike are learning to how to ski. Justin falls down every 30 feet. Mike falls down every 25 feet. if they start skiing from the same point , how far is the first point where they will both fall down?
What is the least common multiple of 25 and 30?
30, 60, 90, 120, 150, 180, etc.
their LCM is 150 is that right?
Yes. 150.
Thank you Ms Sue
You're welcome, Abbey.
To find the first point where both Justin and Mike will fall down, you need to determine the least common multiple (LCM) of the distances they fall down.
To start, let's find the LCM of 30 and 25.
First, list the multiples of each number:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, ...
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, ...
Looking at the lists, we find that the least common multiple of 30 and 25 is 150.
This means that Justin will fall down at the first point after 150 feet of skiing, and Mike will also fall down at the same point.
Therefore, the first point where they will both fall down is at a distance of 150 feet.