Question

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

Answer 1

So, 3 gardeners 18 trees in 30 minutes. Let's see how many trees 1 gardener can do. 1 gardener can plant 6 trees in 30 minutes. Remember, time will not reduce. He is doing 1/3 of the work, but it will still take the same amount of time. If you try to do it the wrong way (which would be to say 1 gardener 6 trees 10 minutes) you are saying a person can do his share of the work in a third of the time. Now, scale up from 30 minutes to 45 minutes. That means a 150% increase. So, 150% of 6=9. So, 1 person can plant 9 trees in 45 minutes. The last thing you need to do is scale up trees to 45. 45/9=5. So, 5 gardeners can plant 45 trees in 45 minutes.

Answer 2

Answer:

It will take 7.5 gardeners to plant 45 trees in 45 minutes

Step-by-step explanation:

It takes 3 gardeners 30 minutes to plant 18 trees.

Let's determine the rate of this 3 gardeners

Rate= 18 trees/30 minutes

Rate= 2/5 trees per minute

So 3 gardeners= 2/5 trees per minute

But then one Gardner= 2/(3*5) trees per minute

One Gardner=2/15 trees per minute

Let's determine the number of gardeners it will take to plant 45 trees in 45 minutes

One Gardner=2/15 trees per minute

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

It will take 7.5 gardeners to plant 45 trees in 45 minutes