AchyuthReddy wrote:

If 45 people built\(\frac{1}{2}\) of a pyramid in 288 days, how many days did it take 65 people to build the next \(\frac{1}{6}\) the pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?

We Know,

Work = Individual Rate × Number of Workers × Time

Now plugging the values we have,

\(\frac{1}{2}\) pyramid = Individual Rate * 45 * 288

or Individual Rate = \(\frac{1}{25920}\) pyramid per day

Now we need to find the no. of days for 65 people to build the \(\frac{1}{6}\)of pyramid

We know,

Work = Individual Rate × Number of Workers × Time

\(\frac{1}{6} = \frac{1}{25920} *65 * T\)

Time = 66.46 days i.e. 66 days rounded to nearest integer

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