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21 Jan 2021, 10:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
77% (03:01) correct
23%
(02:51)
wrong
based on 194
sessions
History
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Not Attempted Yet
A team of workers was employed by a contractor who undertook to finish 360 pieces of an article in a certain number of days. If the team were to make four more pieces per day than was planned, they would complete the job a day ahead of the schedule. How many days did the team take to complete the job at the original rate?
(A) 8
(B) 9
(C) 10
(D) 12
(E) 13
(A) 8
(B) 9
(C) 10
(D) 12
(E) 13
21 Jan 2021, 18:25
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Let the number of days taken = x
Number of articles made per day = \(\frac{360}{x}\)
When number of articles per day is increased by 4, then the number of days reduced by 1.
i.e \(\frac{360}{x - 1} = \frac{360}{x} + 4\)
Therefore 360x = 360(x - 1) + 4(x)(x-1)
\(360x = 360x - 360 + 4x^2 - 4x\)
\(4x^2 - 4x - 360 = 0\)
\(x^2 - x - 90 = 0\)
\(x^2 - 10 + 9x - 90 = 0\)
x(x - 10) + 9(x - 10) = 0
x = -9 or x = 10
Option C
Arun Kumar
Number of articles made per day = \(\frac{360}{x}\)
When number of articles per day is increased by 4, then the number of days reduced by 1.
i.e \(\frac{360}{x - 1} = \frac{360}{x} + 4\)
Therefore 360x = 360(x - 1) + 4(x)(x-1)
\(360x = 360x - 360 + 4x^2 - 4x\)
\(4x^2 - 4x - 360 = 0\)
\(x^2 - x - 90 = 0\)
\(x^2 - 10 + 9x - 90 = 0\)
x(x - 10) + 9(x - 10) = 0
x = -9 or x = 10
Option C
Arun Kumar
General Discussion
ShankSouljaBoi
Joined: 21 Jun 2017
Last visit: 17 Apr 2024
Posts: 622
Given Kudos: 4,090
Location: India
Concentration: Finance, Economics
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 1: 660 Q49 V31
GMAT 2: 620 Q47 V30
GMAT 3: 650 Q48 V31
GPA: 3.1
WE:Corporate Finance (Non-Profit and Government)
Products:
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 3: 650 Q48 V31
Posts: 622
22 Jan 2021, 01:04
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Let x be the no of days and p be the no of units produced each day
xp = 360
and (x-1)(p+4)=360
x = 10
In how many days did they COMPLETE = x-1 = 9
B
xp = 360
and (x-1)(p+4)=360
x = 10
In how many days did they COMPLETE = x-1 = 9
B
