This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Work related problems
This mini-lesson explains work related problems involving situations such as a group of people working together on a job. E.g. you might be told how long each person takes to paint a similarly-sized house, and you are asked how long it will take the two of them to paint the house when they work together. The solution for work problems is not obvious and may be a little tricky to work on. You may have to think of the problem in terms of how much each person / machine / whatever does per unit of time.
For example: If a painter can paint the entire house in twelve hours, and the second painter takes eight hours. How long would it take the two painters together to paint the house?
If you think about the problem in terms of how much of the house does each of the painters paints in one hour, you'll realize that the problem can be stated as: t(1/12)+ t(1/8) = 1 where t is the amount of time it will take both of them to paint the house together.
When we simplify it, value of t = 24/5 hrs i. e. they will take 44
Once you go through our instructor's explanation in the video, these concepts will become even clearer.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.