Question

Ben visits the park every 5 days and goes to the library every 8 days. If Ben does both of these today, how many days will pass before Ben gets to do them both on the same day again? Ben visits the park every 5 days and goes to the library every 8 days. If Ben does both of these today, how many days will pass before Ben gets to do them both on the same day again? 3 days 40 days 80 days 13 days

Answer 1

The answer is 13 days.

To determine this, we need to find the least common multiple (LCM) of 5 and 8. To do this, we can list the multiples of each number:

Multiples of 5: 5, 10, 15, 20, ...

Multiples of 8: 8, 16, 24, 32, ...

The first number that appears in both lists is 20, which is the least common multiple of 5 and 8. Therefore, Ben will next visit the park and go to the library on the same day 13 days from now.

Explanation: