Latest Capgemini Aptitude Question SOLUTION: Two men, 3 women working full time and 3 part times can complete a job in 20 days. Four men and 9 women working full time can complete the same job in 10 days. Find the ratio of th

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Two men, 3 women working full time and 3 part times can complete a job in 20 days. Four men and 9 women working full time can complete the same job in 10 days. Find the ratio of the times taken by a woman (full-timer) and a part timer to complete the job.

Asked In Capgemini vikash keshri (10 years ago)

Solved Reema Pattanayak Read Solution (12)

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Read Solution (12) :

Reema Pattanayak  (10 years ago)

let X=single man one day work
y=single woman one day work
so single woman's part tym work will be y/2
so 1st equation is,
2x+3y+3(y/2)=1/20 (as they are completing in 20 days)
2nd equation wil be,
4x+9y=1/10 (as they are completing in 10 days)
solving both equations we will get,
y=1/90 (this is the single woman's full timer 1 day work)
so now taking the ratio of full-timer and a part timer we will get
90:45=2:1

Is this solution Helpfull? Yes (18) | No (8)  

Sajib Ghosh  (9 years ago)

here,part time does not mean it has to half of the full time women's work.
And a full time women should finish the job faster than the half time woman.
So, i think the previous answers are wrong.
solution:
let X=single man one day work
y=single woman one day work
z=single part time woman one day work

so, 2x+3y+3z=1/20 --->(1)
4x+9y =1/10 --->(2)
by solving this we get
y=2z
so, the ratio is 1:2

Is this solution Helpfull? Yes (9) | No (1)  

sumit jain  (9 years ago)

reema ur solution is wrong
when we solve both euation it becomes zero.
so ur answer is wrong

Is this solution Helpfull? Yes (7) | No   

Rajesh keshari swain  (10 years ago)

let work done by a man is x in full time and that of woman is y in full time. so 2 equations will be
[2*x+3*y+(3*y)/2]=1/20
[x+3y]=1/40
solving both y=1/40 mean woman can complete a work in 40 days in full time.ans is 2:1

Is this solution Helpfull? Yes (6) | No (9)  

Rajesh keshari swain  (10 years ago)

@pinaki
let x=a single mans 1 day work in fulltime
y=a womans 1day work in full time
as it is given two men full time,3 woman full time and 3 women part time can complte a work in 20 days.
if we vl calculate 1 day work so 3*(1 day work of a man full time)+3*(1 day work of a woman in fulltime)+3*(1 day work of woman half time)=1/20 part
so 3*x+3*y+3*(y/2)=1/20
2nd eqn 4(1 day work of a man full time)+9*(1 day work of a woman full time)=1/10 part
so eqn becomes 4x+9y=1/10.

Is this solution Helpfull? Yes (2) | No (1)  

kiran  (10 years ago)

question is to Find the ratio of the " times " taken by a woman (full-timer) and a part timer to complete the job.

so answer should be 1:2

Is this solution Helpfull? Yes (2) | No (1)  

Debarshi Saha  (10 years ago)

how u get the 1st equ???????
rajesh its 2 men u calculate 3 men???????

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priyanka  (10 years ago)

@ rajesh: can u pls explain the 2nd eqn.

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Rajesh keshari swain  (10 years ago)

sry ..by mistakely i wrote again d 1st eqn.by solving 1st eqn its x+3y=1/40 and 2nd eqn is 4x+9y=1/10.by solving 1 and 2 y=1/40

Is this solution Helpfull? Yes | No (1)  

Pinaki panda   (10 years ago)

Can u please. Explain me the 1st eqn y

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priyanka  (10 years ago)

i did'nt get u!

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aditya agrawal  (10 years ago)

plz xplain again both eqns

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