Problema Solution

Buck can scrub the kitchen floor in 40 minutes, while Ira can scrub the kitchen floor for in 1 hour. How long would it take Buck and Ira to scrub the kitchen floor if they work together?

Answer provided by our tutors

Let X be the amount of work required to scrub the floor.

Then,

For Buck, X work in 40 minutes

  ==>X/40 work in 1 minute

For Ira, X work in 60 minutes

  ==> X/60 work in 1 minute

Total work in 1 minute by both Buck and Ira = (X/40) + (X/60)

                                                               = X/24

So, in 1 minute, they can both together do X/24 work. So, for doing X work, they require 24 minutes.