This is a free lesson from our course in Algebra I
This lesson explains work 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 similarlysized 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?
(More text below video...)
(Continued from above) 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 4 ^{4}/_{5}
hrs.
Once you go through our instructor's explanation in the video above, these concepts
will become even clearer.
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