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# If 45 people built

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Intern
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If 45 people built [#permalink]  14 Mar 2018, 08:00
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Question Stats:

90% (02:06) correct 10% (01:42) wrong based on 10 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?

(A) 66 days

(B) 77 days

(C) 88 days

(D) 87 days

(E) 76 days
[Reveal] Spoiler: OA

Last edited by Carcass on 26 Sep 2018, 05:14, edited 1 time in total.
Edited by Carcass
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Expert's post
has this question the answer choices ??

Thank you.

Regards
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Manager
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Shrija Roy wrote:
18. If 45 people built 1/2 of a pyramid in 288 days, how many days did it take 65 people to build the next 1/6 the
pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?

45 people built 1/2 in 288 days.

So they will take 288*2 days for 1 pyramid.
=576 days

1 person will take 576*45 days or in 1 day, a person will do 1/576*45 of work.

so

65 people will build 65*1/576*45th of pyramid in one day.

For building 1/6th of pyramid it will take,

1/6 = 65*1/576*45 * y where y is number of days.

Solving for y, given 64 as closest integer.

Please share the official answer. Also if there is a shorter way to answer this question would help me as well.
Intern
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Answer should be 66.46 ~ = 66 to the nearest whole integer
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Joined: 18 Apr 2015
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Kudos [?]: 980 [0], given: 4510

Re: If 45 people built [#permalink]  26 Sep 2018, 05:15
Expert's post
Edited the question and added the OAs.

Regards
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Moderator
Joined: 18 Apr 2015
Posts: 4917
Followers: 74

Kudos [?]: 980 [0], given: 4510

Expert's post
mohan514 wrote:
Shrija Roy wrote:
18. If 45 people built 1/2 of a pyramid in 288 days, how many days did it take 65 people to build the next 1/6 the
pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?

45 people built 1/2 in 288 days.

So they will take 288*2 days for 1 pyramid.
=576 days

1 person will take 576*45 days or in 1 day, a person will do 1/576*45 of work.

so

65 people will build 65*1/576*45th of pyramid in one day.

For building 1/6th of pyramid it will take,

1/6 = 65*1/576*45 * y where y is number of days.

Solving for y, given 64 as closest integer.

Please share the official answer. Also if there is a shorter way to answer this question would help me as well.

Regards
_________________
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