Learning Task 2: Solve the following problems using the 4-step plan. Use the
concept of LCM in each problem. Write your answer in your notebook.
1. A lighthouse 1 flashes its light every 15 minutes. A lighthouse 2 flashes
every 18 minutes. If the two lighthouses flash together at 1:00 AM, what
time they will next flash together?
2. The length and width of rectangular lot are 108 m and 144 m. Trees are
planted at equal distance along the sides of the lot. What is the total number
of trees planted?
3. Leo visits the regional office once every 2 days. Ethan visits once every 4
days while Jaypee visits once every 6 days. They all meet one day in the
office. After how many days will they meet together again at the Regional
Office?
4. The box of candies is shared equally arnong 9,12, or 18 children, there are
always 6 candies left. Find the smallest number of candies in the box?
5. Three bells toll at intervals of 12 min, 20 min, and 24 min, respectively. If
they start by ringing together, after how long will they all ring again? help me na po
Answers & Comments
Answer:
1.
Understand:
If the two lighthouses flash together at 1:00 A.M, what time they will next flash together?
-A lighthouse 1 flashes its light every 15 minutes.
-A lighthouse 2 flashes every 18 minutes.
Plan/Solution:
I will use illustration for this,If the first one flashes every 15 mins, and the second one flashes every 18 mins, here's the time that each of them will flash:
Lighthouse 1: | Lighthouse 2:
1:00 | 1:00
1:15 | 1:18
1:30 | 1:36
1:45 | 1:54
2:00 | 2:12
2:15 | 2:30
2:30 |
3.
Understand:
After how many days will they meet together again at the Regional Office?
-Leo visits the regional office once every 2 days.
-Ethan visits once every 4 days
-Jaypee visits once every 6 days.
Solution:
I will us the illustration for this too.
=12
4.
Find the smallest number of candies in the box.
-The box of candies is shared equally among 9,12, or 18 children,
- there are always 6 candies left.
Listing metho.
Lcm of 9 12 18=36
5.
How long will they ring again.
-12 mins
-20 mins
-24 mins
Illustration ,even they have different time intervals, because they all started to ring together, the minute to be consumed is still 24 minutes.