Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

SECTION A: (60 MARKS)

Answer all questions in this section.

Four bells are set to ring at intervals of 6, 8, 10, and 15 minutes. If they ring together at 8:00 am, at what time will they ring together again?

Sagot :

GinnyAnswer
To determine the time at which all four bells will ring together again, we need to follow these steps carefully:

1. Understanding the Intervals:
We have four bells with ringing intervals of 6, 8, 10, and 15 minutes, respectively.

2. Finding the Least Common Multiple (LCM):
To find the next time all bells ring together, we must determine the smallest time interval that is a multiple of 6, 8, 10, and 15. This interval will be the least common multiple (LCM) of these four numbers.

3. Calculating the LCM:
- The LCM of a set of numbers is the smallest number that all of the given numbers divide into without leaving a remainder.
- The LCM of 6, 8, 10, and 15 has been calculated as 120 minutes.

4. Conversion to Hours and Minutes:
- Convert the time interval (120 minutes) into hours and minutes.
- 120 minutes is equivalent to 2 hours (since 120 divided by 60 equals 2 with a remainder of 0 minutes).

5. Determining the Time:
- We add 2 hours to the initial ring time (8:00 am).

By adding 2 hours to 8:00 am, we get:

8:00 am + 2 hours = 10:00 am

So, the four bells will ring together again at 10:00 am.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.