Question

leslie and clark both work at a greenhouse. leslie can pot 20 plants in 60 minutes, and clark can pot 8 plants in 20 minutes. at this rate, how many minutes will it take leslie and clark to pot 33 plants. minutes =

Explanation:

Step1: Calculate Leslie's rate

Leslie can pot 20 plants in 60 minutes. So Leslie's rate is $\frac{20}{60}=\frac{1}{3}$ plants per minute.

Step2: Calculate Clark's rate

Clark can pot 8 plants in 20 minutes. So Clark's rate is $\frac{8}{20}=\frac{2}{5}$ plants per minute.

Step3: Calculate combined rate

The combined rate of Leslie and Clark is $\frac{1}{3}+\frac{2}{5}=\frac{5 + 6}{15}=\frac{11}{15}$ plants per minute.

Step4: Calculate time to pot 33 plants

Let $t$ be the time in minutes. We know that rate $\times$ time = work. So $t=\frac{33}{\frac{11}{15}}=33\times\frac{15}{11}=45$ minutes.

Answer:

45