It takes 3 gardeners 30 minutes to plant 18 trees. How many gardeners would it take to plant 45 trees in 45 minutes

Three gardeners can manage 18 trees in a span of 30 minutes. To find out how many trees one gardener can plant, we see that a single gardener would be able to plant 6 trees within the same duration. It's important to note that time does not decrease. Each gardener performs one-third of the work, yet the time remains constant. If we incorrectly assume 1 gardener could plant 6 trees in 10 minutes, we would be implying that they could complete their portion of the task three times faster.

Answer:

It requires 7.5 gardeners to plant 45 trees in the span of 45 minutes.

Step-by-step explanation:

For 3 gardeners, the time taken to plant 18 trees is 30 minutes.

Let us calculate the planting rate of these 3 gardeners.

Rate= 18 trees/30 minutes

Rate= 2/5 trees per minute

Thus, 3 gardeners equate to a rate of 2/5 trees per minute.

Consequently, a single gardener would represent 2/(3*5) trees per minute.

Hence, one gardener plants at a rate of 2/15 trees each minute.

Now, let’s find out how many gardeners are needed to plant 45 trees in 45 minutes.

As derived, one gardener serves at a pace of 2/15 trees per minute.

X(22 /3)= 2/15*(22.5/3)

Thus, it will require 7.5 gardeners to accomplish the task of planting 45 trees within 45 minutes.