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if she made 4 houses in 3 days


20 houses in ? days


?.4=20.3


?=20.3/4


?=5.3


?=15 days

The number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

\(W=\dfrac{1}{n}\)

Jared made 4 bird houses in 3 days. Thus, the number of bird houses made by Jared in 1 day is,

\(n=\dfrac{4}{3}\)

Thus, the Jared made 4/3 housed in a single day. By this rate the total time required to Jared to make 20 bird housed is,

\(t=\dfrac{20}{\dfrac{4}{3}}\\t=\dfrac{60}{4}\\t=15\rm\;days\)

Hence, the number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.

Learn more about the work and time here;

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