One man or two women or three boys can do a work in 44 days then one man, one women and one boy together can finish the same work in ---- days

This question is related to Accenture Interview

suresh

• May 25th, 2005

24 days (24.04372 days exactly)

Sandeep Kumar

• Jun 17th, 2005

Exactly 24 days...

1 man do 1/44 job per day
2 woman do 1/44 job per day
3 children do 1/44 job per day

so
1man , 1 woman , 1 child..
1/44+1/88+1/132 job per day

so 11/264 = 1/t where t is the time taken..

now 264/11 = 24 = t

kavita

• Jul 7th, 2005

Ans: 24 days exactly

Rahul

• Jul 18th, 2005

One Man + One Woman + One Boy =1+(1/2)+ (1/3)=11/6

44/(11/6)=24

24 Days Exactly

• Aug 3rd, 2005

How less people can finish same work early?
1 man + 2 women + 3 boys ( takes 44 days)
1 man + 1 women + 1 body ( should take more than 44 days)

if you assume that Efficency factor of
women = 1/2 Man
Boy = 1/3 Man
Total workload is 44x3 = 132 man days

If so then it shoud take (132) / (11/6) = 72 days

oktay

• Aug 23rd, 2005

let's say 3 boys = 6 kpowers (kpower is something constant), so 1 boy = 2 kpowers;
then 2 women = 6 kpowers (because 2 women and 3 boys can do the job in the same amount of time), so 1 woman = 3 kpowers;
and 1 man = 6 kpowers.

at the next step 1 man + 1 woman + 1 boy = 6 + 3 + 2 = 11 kpowers.

so if 6 kpowers can do the job in 44 days, 11 kpowers can do it in 44*6/11=24

govind

• Aug 9th, 2005

Ans=42
because
1m and 2w do it in 44
then
1m and 1w and 1b can do it in
3*44=3*?
d=(3*44)/3
d=44 days

ganesh(kud)

• Aug 16th, 2005

24 days

K.Bharath

• Sep 3rd, 2005

Ans:- 24 days

Poonam Agarwal

• Sep 14th, 2005

ans:22 days

sanjeev

• Sep 28th, 2005

24

james

• Oct 5th, 2005

22

monika datta

• Nov 11th, 2005

as per me tha ans shd be 24

• Mar 25th, 2006

we have m*44=x, 2w*44=x, 3b*44=x and therefore

m*44= n*m + n*(m/2) + n*(m/3) which gives

n= 44* (6/11) = 24 days

sandeepy Profile

• Jul 24th, 2006

please dont confuse guys.......Its ans can be only 24days according to R.S.Agarwal Aptitude book.......

sunilrv

• Aug 8th, 2006

In the problem,it is given that 1 man=2 women=3 boys

now 1women=1/2 man

& 1 boy=1/3 man,now 1 man can do the work in 44 days

then (1+1/2+1/3)men can do the work in X days(indirect propotion)

therefore 11/6:1::44:X  ==> X=24,hence 24 days

• Jun 28th, 2007

ANSWER IS 24...BUT LETS SEE HOW TO GET IT..

1         1       1
--    + ---  + ---  =      11616+5808+3872
44       88    132        ------------------------
511104

= 21296
---------
511104

=24

• Jul 26th, 2007

its exactly 22days

1 men can complete work in 1/44

1 women can complete it in 1/88

1 boy can complete it in 1/132

when they work together i.e

1/44+1/88+1/132=12/264

therefore they can complete it in 22 days

• Jul 26th, 2007

sorry 264/12 is 24 so 24 days

shekhar

• Jul 28th, 2007

1man=1/44
2women=1/44...........so 1 women=1/88
3boys=1/44...............so 1 boy=1/(44*3)........1/132
we need 1man+1women+1boy
1/44+1/88+1/132 take lcm of 44,88,132...6+3+2/(264)....11/264..........1/24..

Prodit Kumar

• Nov 15th, 2007

The answer is 22 days, How lets solve it.

1 man can do in 44 days
2 women can do in 44 days
3 boys can do in 44 days

then 1man+1women+1boy can do in
=1/(1/44+1/88+1/132)
=132/6
=22 days

anupkumar kalathil Profile Answers by anupkumar kalathil

• Jan 24th, 2008

1 woman = 1/2 or .5 man
1 boy = 1/3 or .3333 man
1 man + 1 woman + 1 boy = 1+ .5 + .3333 = 1.8333 man
if 1 man can do in 44 days, 1.8333 man can do in 44/1.8344 = 24 days

• Jan 28th, 2008

answer should be more than 44 days... it is  not possible to get answer less than 44 days

Rajiv Gupta Profile Answers by Rajiv Gupta Questions by Rajiv Gupta

• Jul 3rd, 2011

24 days exactly. In 1 day one man can do 1/44 of entire work, similarly one woman and one child can do individually 1/88 and 1/132. so together they do 11/264 of entire work in a day. so they will complete entire work i.e 1 whole of work in 264/11 days. i.e 24 by unitary method.

VINOTH

• Dec 14th, 2011

The ans is 88 bcoz

6 workers can finish work in 44 days then three workers can finish the same work in 88 days

abirami

• Sep 21st, 2014

At first convert man & women into boys..
1 men=3 boys, 2 women=3 boys,so 3/2 boys,3 boys=3 boys
work all together =3/2+1+3=3/2+4=11/2(in boys)
take boys alone;according to chain rule,no of workers and days are inversely proportional..
3 boys=44 days
11/2 boys=x days
x=3*44*2/11=24 DAYS
ANS:24 days

pranav

• Sep 26th, 2014

U guys r forgetting one imp thing... That is .. OR.
One man OR 2Women OR 3 boys...
It can one man n 2 women=44days
Or 2 women n 3boys = 44days... Or individually ... 24 is not the correct answer.

Venkat Krishnan V R

• Nov 6th, 2014

24 days:

1) 1/((1/44) + (1/88)+(1/132)) = 24

2) 3+ 3/2 + 1 =11/2 and 132/5.5 = 24

sowmya

• Dec 23rd, 2014

34

Pawan Sahu

• Aug 18th, 2015

(1/44)+(1/88)+(1/132)=1/t
3+1.5+1/132=1/t
132/5.5=t
24=t

Amrit Joy

• Oct 2nd, 2015

1M=2W=3B COMPLETES THE WORK IN 44 DAYS
SO 1M+1W+1B COMPLETES IN ?? DAYS
CONVERTING ALL INTO WOMAN
2W+1W+2/3W = [6+3+2]/3 = 11/3 W
2W TAKES 44 DAYS SO 11/3W WILL TAKE 44 * 2 * 3 / 11 = 24 DAYS

• Oct 14th, 2015

Explanation:
1 man = 2 women = 3 boys
1 woman = 1/2 man and 1 boy = 1/3 man
So, [1+1/2+1/3]men=[11/6men]
Now, 1 man can do the piece of work in 44 days
11/6men can do it in [44×6/11] = 24 days

AJAY SAH

• Nov 13th, 2015

1 man can complete 1 work in 44 days, so 1 man can complete 1/44 works in 1 day.
2 women can complete 1 work in 44 days, so 1 women can complete 1/44*2 works in 1 day.
3 boy can complete 1 work in 44 days, so 1 boy can complete 1/44*3 works in 1 day.
According to the question,
1 men+1 women+1 boy complete (1/44+1/88+1/132) works in 1 day.
=> 1/44(1+1/2+1/3)=11/(6*44)=1/24 works in 1 day.
or, 1 work can complete 24 days.
so, 1 men,1 women and 1 boy together can finish same work in 24 days.
ans=24 days.

• Dec 1st, 2016

Question is "One man or two woman or three boys "
it means 1 man / 2 woman / 3 boys can do a work in 44 days
so they(1 man + 1 woman + 1 boy) together can do there work in less than 44 days
and the correct answer is 24

Pooja

• Dec 30th, 2016

24

Abhishek

• Jan 7th, 2017

Let the work to make 44 block in 44 day.
Man can make 1 block each day.
Woman can make 0.5 block each day individually.
Boy make 0.33 block part each day .
1+0.5+0.33=1.83
44/1.83=24

Dziri

• Oct 1st, 2017

m = 1
w = 1/2
b = 1/3
1 + 1/2 + 1/3 = 44
6/6 + 3/6 + 2/6 = 11/6
11/6 = 44
444/6 = ?
444/6 = 222/3 = 74

Jay

• Nov 2nd, 2017

Person Work Days
1 man 1 44
1 Woman 1 88
1 boy 1 132
3 person 3 works 132+88+44 = 264 days
3 person 1 work 264/3 = 88 days

Vishal

• Dec 8th, 2017

24 days

Saara Vas

• Jan 24th, 2018

24 days

Abdul

• May 16th, 2018

Buddy its One man (Or).. not one man (and)... so answer must be less than 44