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John appointed 25 men to complete a small bridge in 40 days after 20

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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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John appointed 25 men to complete a small bridge in 40 days after 20 [#permalink]

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New post 30 Apr 2018, 17:31
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Difficulty:

  65% (hard)

Question Stats:

50% (03:55) correct 50% (02:39) wrong based on 8 sessions

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John appointed 25 men to complete a small bridge in 40 days. After 20 days he appointed 15 more workers and the bridge was completed 5 days earlier. If he had not appointed the additional workers by how many days he would have been behind the schedule time ?

A)2 days
B)3 days
C)4 days
D)5 days
E)5/2 Days
Spoiler: OA
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John appointed 25 men to complete a small bridge in 40 days after 20 [#permalink]

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New post 30 Apr 2018, 20:37
selim wrote:
John appointed 25 men to complete a small bridge in 40 days. After 20 days he appointed 15 more workers and the bridge was completed 5 days earlier. If he had not appointed the additional workers by how many days he would have been behind the schedule time ?

A)2 days
B)3 days
C)4 days
D)5 days
E)5/2 Days


25 men*20 days=500 total man days for original crew
40 men*15 days=600 total man days for enhanced crew
500/(500+600)=5/11 of job completed by original crew
let r=daily rate of original crew
r*20=5/11
r=1/44
44-40=4 days behind
C
John appointed 25 men to complete a small bridge in 40 days after 20   [#permalink] 30 Apr 2018, 20:37
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John appointed 25 men to complete a small bridge in 40 days after 20

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