Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?

A. 2.4 hours
B. 2.5 hours
C. 3.0 hours
D. 4.0 hours

2.4 hours

Step-by-step explanation:

To solve the question, we should represent the amount of task to be done by a variable. Let’s say the amount of cleaning to be done is x.

Now let’s look at individual rates I.e amount of task per unit time for each persons.

For Randy, it takes 4 hours. How rate would be x/4. For Trey it is x/6

Their combined rates is thus x/4 + x/6 = (3x + 2x) = 5x/12

Now to calculate the time taken to complete the x task given this rate, we simply divide the task by the rate. That would be x/(5x/12) = x * 12/5x and that is 12/5 = 2.4hourd

46.2+112.3

step-by-step explanation:

answer: c i think

step-by-step explanation: