At the lake, two companies are giving boat rides. At one booth a boat leaves every

Question

12 minutes and at the other booth a boat leaves every 10
minutes. In how many minutes will both boats be leaving at the same time?
2 minutes
20 minutes
24 minutes
60 minutes

Answer 1

To find out when both boats will leave at the same time, we need to determine the least common multiple (LCM) of the intervals at which the boats leave.

The first boat leaves every 12 minutes, and the second boat leaves every 10 minutes.

To find the LCM of 12 and 10, we can list their multiples:

• Multiples of 12: 12, 24, 36, 48, 60, ...
• Multiples of 10: 10, 20, 30, 40, 50, 60, ...

The smallest common multiple in both lists is 60.

Thus, both boats will leave at the same time after 60 minutes.