The soccer team and the football team are sharing the field for their practices today. The soccer team meets for practice every 3 days, and the football team meets every 4 days. How many days from now will they have to share the field again?

Question

Jayda Mcgee

Mathematics

21 April, 14:48

The soccer team and the football team are sharing the field for their practices today. The soccer team meets for practice every 3 days, and the football team meets every 4 days. How many days from now will they have to share the field again?

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Answers (1)

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Floyd · Answer 1

After 12 days.

Step-by-step explanation:

Given:

The soccer team and the football team are sharing the field for their practices today.

The soccer team meets for practice every 3 days,

The football team meets every 4 days.

To find:

How many days from now will they have to share the field again?

Solution:

As soccer team meets for practice every 3 days and the football team meets every 4 days, we have to find in which day from now they again will be in the same field to meet practice and thus they will have to share the field, we will simply find the least common multiple of 3 and 4.

3 - 3, 6, 9, 12, 15, 18, 21

4 - 4, 8, 12, 16, 20, 24

Here, we got 12 is the least common multiple

Thus, after 12 days from now they have to share the field again.