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# If 45 people built of a pyramid

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Intern
Joined: 15 Sep 2017
Posts: 34
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Kudos [?]: 15 [0], given: 2

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

80% (02:16) correct 20% (03:28) wrong based on 5 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
Director
Joined: 20 Apr 2016
Posts: 758
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Kudos [?]: 514 [1] , given: 94

Re: If 45 people built of a pyramid [#permalink]  16 Sep 2018, 10:55
1
KUDOS
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
https://greprepclub.com/forum/rules-for ... -1083.html

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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Director
Joined: 20 Apr 2016
Posts: 758
Followers: 6

Kudos [?]: 514 [2] , given: 94

Re: If 45 people built of a pyramid [#permalink]  16 Sep 2018, 11:10
2
KUDOS
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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# If 45 people built of a pyramid

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