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A gardener has two types of plants, one type requires watering every 4 days and

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Question: 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)

Options:

  1. 12
  2. 24
  3. 18
  4. 30

Correct Answer: 12

Exam Year: 2023

Solution: 

The LCM of 4 and 6 is 12. Therefore, they will be watered together again in 12 days.

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)
  1. 12
  2. 24
  3. 18
  4. 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.
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