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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (00:51) correct
7%
(01:38)
wrong
based on 111
sessions
History
Date
Time
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Not Attempted Yet
Lois can complete a certain job in x hours and Parnel can complete the same job in y hours. Which of the following expresses, in terms of x and y, the time it would take them to complete the job if they worked together?
A. (x + y)/y
B. xy/y
C. xy/x
D. 2/(xy)
E. xy/(x + y)
_________________
A. (x + y)/y
B. xy/y
C. xy/x
D. 2/(xy)
E. xy/(x + y)
_________________
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eddy8700
Joined: 25 Jan 2016
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Schools: Rotman '19 Insead Sept'18 Booth '19
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Answer is E
1/x + 1/y=Combined rate
time taken would be xy/(x+y)
1/x + 1/y=Combined rate
time taken would be xy/(x+y)
IdiomSavant
Joined: 14 Sep 2016
Last visit: 03 May 2018
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Concentration: Finance, Economics
Schools: Boston U '20 Carroll '20
Schools: Boston U '20 Carroll '20
Posts: 44
Bunuel
E.
Pick numbers
Lois
Job in 10 hours
X=10
\(\frac{1}{10}\) job an hour
Parnel
Job in 5 hours
Y =5
\(\frac{1}{5}\) job an hour
Together
x + y = \(\frac{3}{10}\) job an hour
or 3.33 hours to do the job together.
Plug in x=10 and y=5 into the answer choices until you find 3.33 which is E.
gmathopeful19
Joined: 09 Oct 2016
Last visit: 27 Jun 2018
Posts: 65
Location: United States
Schools: Kellogg '20 (A) (A$) Tuck '20 (WL) Duke '20 (I)
GMAT 1: 740 Q49 V42
GPA: 3.49
Products:
1/x + 1/y (t) = 1
(x+y)/xy * (t) = 1
t = xy/(x+y)
E
Sent from my iPhone using GMAT Club Forum
(x+y)/xy * (t) = 1
t = xy/(x+y)
E
Sent from my iPhone using GMAT Club Forum
Posts: 177
1/x + 1/y
y +x/xy
Flip over the fraction
xy/y + x
Answer is E
y +x/xy
Flip over the fraction
xy/y + x
Answer is E
WORK = TIME x RATE
WORK = 1
T(L)=X, R(L)=1/X
T(P)=Y, R(P)=1/Y
Rate Together= 1/x+1/y= (y+x)/xy
Time together= Work/Rate=1/((y+x)/xy)= xy/(y+x)
WORK = 1
T(L)=X, R(L)=1/X
T(P)=Y, R(P)=1/Y
Rate Together= 1/x+1/y= (y+x)/xy
Time together= Work/Rate=1/((y+x)/xy)= xy/(y+x)
Abhishek009
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Bunuel
Let th total work be xy units
The efficiency of Lois is \(y\) units/hr
The efficiency of Parnel is \(x\) units/hr
Combined efficiency of Lois & Parnel is \((x + y)\) units/hr
So, the time required by Lois & Parnel is \(\frac{xy}{(x + y)}\)
Answer must be (E)
PS : THIS IS BASICALLY A FORMULA, KNOWING THIS FORMULA CAN HELP DURING THE EXAM
_________________
Posts: 67
rate of Lois = 1/x
rate of Parnel = 1/y
combined rate = 1/x + 1/y = x+y/xy
so time = 1/rate = xy/x+y
Answer is E
rate of Parnel = 1/y
combined rate = 1/x + 1/y = x+y/xy
so time = 1/rate = xy/x+y
Answer is E
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