A gardener has two types of plants, one type requires watering every 4 days and
Practice Questions
Q1
A gardener has two types of plants, one type requires watering every 4 days and the other every 6 days. If both types are watered together today, in how many days will they be watered together again? (2023)
12
24
18
30
Questions & Step-by-Step Solutions
A gardener has two types of plants, one type requires watering every 4 days and the other every 6 days. If both types are watered together today, in how many days will they be watered together again? (2023)
Step 1: Identify the watering frequency of each type of plant. One type needs watering every 4 days, and the other type needs watering every 6 days.
Step 2: Understand that we need to find a common time when both types of plants will need watering together again.
Step 3: To find this common time, we need to calculate the Least Common Multiple (LCM) of the two watering frequencies (4 and 6).
Step 4: List the multiples of 4: 4, 8, 12, 16, 20, ...
Step 5: List the multiples of 6: 6, 12, 18, 24, ...
Step 6: Find the smallest number that appears in both lists of multiples. The smallest common multiple is 12.
Step 7: Conclude that both types of plants will be watered together again in 12 days.
Least Common Multiple (LCM) – The LCM of two numbers is the smallest number that is a multiple of both. In this case, it determines when the two types of plants will be watered together again.
