Justin and mike are learning how to ski. Justin falls down every 30 feet. Mike falls down every 25 feet. If they both start skiing from the same point, how far is the first point where they both fall down?

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Answer:

150 feet would be first point when they both fall down.

Step-by-step explanation:

As Justin falls down every 30 feet and Mike falls down every 25 feet.

In order to find the first point when Justine and Mike both would be fallen, we need to determine the Least Common Multiple of L.C.M of 25 and 30.

In order to determine the Least Common Multiple of L.C.M of 25 and 30, first we need to list down some of the multiples of 25 and 30 until we find the lowest shared multiple of 25 and 30.

                                25: 25 50 75 100 125 150

                                30: 30 60 90 120 150

So, it is clear that the lowest shared multiple of 25 and 30 is 150. So, 150 will be our Least Common Multiple.

Therefore, 150 feet would be first point when they both fall down.

Keywords:  Least Common Multiple, LCM

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