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If 45 people built of a pyramid

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If 45 people built of a pyramid [#permalink] New post 16 Sep 2018, 07:44
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Question Stats:

66% (02:16) correct 33% (02:51) wrong based on 6 sessions
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?



[Reveal] Spoiler: OA
66
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Re: If 45 people built of a pyramid [#permalink] New post 16 Sep 2018, 10:55
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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?


The official answer is 66

With solution as follows:

To solve a Rates & Work problem with multiple workers, modify the standard formula Work = Rate × Time.
Solve for an individual worker’s rate, plugging in the fact that 45 people built ½ of a pyramid in 288 days:
1/2 pyramid = (R)(45)(288 days) R = 1/25,920 pyramid per day
That is, each person can build of a pyramid in 1 day.
Now put this rate into the work equation, together with the remaining details in the problem:
1/6 = (1/25,920)(65)(T) T ≈ 66.46 days
Rounded to the nearest integer, the answer is 66 days




The problems states next \(\frac{1}{6}\) but solution considered normal\(\frac{1}{6}\) why?



Can I plz request you to READ THE RULES OF POSTING
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As you have already 31 post under your belt plz read it as it will help to the forum. Moreover plz put your reasoning in separate reply
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Re: If 45 people built of a pyramid [#permalink] New post 16 Sep 2018, 11:10
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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?



[Reveal] Spoiler: OA
66


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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Re: If 45 people built of a pyramid   [#permalink] 16 Sep 2018, 11:10
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