Question

Working alone Kyle can clean his room in 15 minutes. Ally can clean the same room in 11 minutes. If they work together, how long would it take them to clean the room?

a) Provide the correct answer.
b) Not enough information to answer.
c) Provide an incorrect answer.
d) Provide an unrelated answer.

Answer 1

Kyle and Ally would take approximately 6.35 minutes to clean the room together, calculated by adding their individual rates of cleaning per minute and then taking the reciprocal of their combined rate.

Step-by-step explanation:

Working alone, Kyle can clean his room in 15 minutes, and Ally can clean the same room in 11 minutes. To calculate how long it would take them to clean the room together, we calculate their combined cleaning rate. First, we determine each person's cleaning rate per minute.

Kyle's rate is 1/15 of the room per minute, and Ally's rate is 1/11 of the room per minute. Adding these rates together gives us Kyle and Ally's combined rate: 1/15 + 1/11 = 11/165 + 15/165 = 26/165. To find the time it takes for them to clean the room together, we take the reciprocal of their combined rate: 165/26 minutes, which simplifies to approximately 6.35 minutes. Therefore, it would take Kyle and Ally about 6.35 minutes to clean the room together.