Latest Elitmus Aptitude Question SOLUTION: 5 Women can paint a building in 30 working hours. After 16 hours work, 2 women decided to leave. How long will it take for the work to be finished. (a). 24 (b).110/2 (c)18 (d).118/

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(#M40037578) ELITMUS Numerical Ability question Time an Work Keep an EYE

5 Women can paint a building in 30 working hours. After 16 hours work, 2 women decided to leave. How long will it take for the work to be finished.
(a). 24
(b).110/2
(c)18
(d).118/3
(e).None of the above

Asked In Elitmus Akash Dixit (9 years ago)

Solved sajid Read Solution (25)

Is this Puzzle helpful?   (26)   (2) Submit Your Solution Time and Work

Read Solution (25) :

sajid  (9 years ago)

5 women completes work in 30 hour.
hence 5 women 1 hour work = 1/30
and 1 women 1 hour work = 1/5*30= 1/150
in 16 hour 5 women work =(16*5)/150 = 8/15
total work left = 1-8/15 =7/15
let 3 women will take x hour more to do remaining(7/15) work.
(7/15)150 70
x = ---------- = -------
3 3

hence total time = 16+(70/3) = 118/3

Is this solution Helpfull? Yes (68) | No (9)  

RAHUL KUMAR  (9 years ago)

5 women's take 30hr to complete the work
after 16hr 2 women leave the work so remaining work hr of two womens=14*2=28hr
remaining 3 women work 30hr without leaving work and the work leaved by two women is to be also completed by these 3 women which is 28hr work
the share of one of three women will be= 28/3
thus total time=30+28/3=118/3 hence option d

Is this solution Helpfull? Yes (33) | No (4)  

subhash prasad saha  (9 years ago)

e.none of these

ans will be 70/3.

Is this solution Helpfull? Yes (19) | No (10)  

sajid  (9 years ago)

5 women completes work in 30 hour.
hence 5 women 1 hour work = 1/30
and 1 women 1 hour work = 1/5*30= 1/150
in 16 hour 5 women work =(16*5)/150 = 8/15
total work left = 1-8/15 =7/15
let 3 women will take x hour more to do remaining(7/15) work.
(7/15)150 70
x = ---------- = -------
3 3

hence total time = 16+(70/3) = 118/3

Is this solution Helpfull? Yes (15) | No (3)  

Ayush Upadhyaya  (9 years ago)

5 women can paint a building in 30 hours
so total woman work=5*30=150 woman hours
for 16 hours 5 women work together so work done by 5 women=16*5=80 woman hours
remanining work=150-80=70 woman hours
70 woman hours of work can be completed by remaining 3 women in = 70/3 hours
so total time taken for work=16+(70/3)=118/3 hours ans

Is this solution Helpfull? Yes (12) | No   

Anoop  (9 years ago)

(d)
1 women take time=30*5
16 hours work done by one women will be 16*5
after 16 hours time left to work for one women= 150-80=70
if that left work will be done by 3 women then it will be done in 70/3 hour
then total time= 16+70/3 = 118/3

Is this solution Helpfull? Yes (11) | No (1)  

Mukesh Nayal  (9 years ago)

ans will be 118/3

Is this solution Helpfull? Yes (9) | No (2)  

Akash Dixit   (9 years ago)

Ans is option (d)

Is this solution Helpfull? Yes (7) | No (3)  

Prateek Pandey  (9 years ago)

option d) is correct
EXPLAINATION:
5 women paints the wall in 30 hours
1 women will paint in 5*30=150 hours
3 women will paint in 150/3=50 hours
after 16 hours work done by 5 womens will be:16x/30=8x/15
remaining work is: x-(8x/15)=7x/15
now this work has to be finished by remaining 3 womens
time taken by 3 womens to finish the entire work is 50 hours so 7x/15 work part will be finished by them in:
(50/x)*(7x/15)=70/3
hence the total time taken by them to finish the entire work is:
16+(70/3)=118/3

Is this solution Helpfull? Yes (6) | No (3)  

Mithun Kumar Kesari  (9 years ago)

total work= 5*30= 150 WH

for 16 hrs, 5 women work, so W1= 16*5= 80 WH

left work, W2= 150-80= 70 WH

this work is completed by 3 women. let they take x hrs.

so, 3*x= 70
x= 70/3 hr

hence total time = 16+70/3= (48+70)/3=118/3 hrs

Is this solution Helpfull? Yes (4) | No   

BHANUPRAKASH DEPANI  (9 years ago)

5 women completes work in 30 hour.
hence 5 women 1 hour work = 1/30
and 1 women 1 hour work = 1/5*30= 1/150............>(1)
in 5 women 16 hourwork =(16*5)/150 = 8/15
total work left = 1-8/15 =7/15
let 3 women will take x hour more to do remaining(7/15) work.
3 women x hour work=7/15
1 women 1 hour work=7/(15*3*x).........>(2)
equate (1) nd (2),
1/150 =1/(15*3*x)
on simplifying, x= 70/3 hrs
hence total time=16hrs + 70/3 hrs = 118/3

Is this solution Helpfull? Yes (3) | No   

Abhishek Agarwal  (9 years ago)

(e)none of above
16 hours work =16/30
remaing work=14/30
3 women work per hour=(1*3/30*5)=1/50
work finished in hours=(14/30)/(1/50)=70/3

Is this solution Helpfull? Yes (2) | No (5)  

jayashree narasimman  (9 years ago)

my guess is none of the above.
3 women works for entire 30hrs and 2 women works only for 16hrs.
30/3 + 16/2 = x
x=13

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

abhishek narayan  (9 years ago)

5wo----30hr----1 work.
5wo----16hr----(16/30) work.
remaining work=14/30=7/15.
5wo---1work---30hr
5wo---(7/15)work---{(7/15)*30=14hr}
2wo---(7/15)work---{(14*5)/3=70/3hr}
Hence, Total time=16+(70/3) hr=118/3hr

Is this solution Helpfull? Yes (1) | No   

Anjali Sadhukhan  (8 years ago)

the easiest ever..118/3

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

vikas  (7 years ago)

after working 16 hours ,5 women can complete remaining work in 14 hours.
so 14*5=3*h
h=70/3
total time is 70/3 +16=118/3

Is this solution Helpfull? Yes (1) | No   

Sayantan Das  (9 years ago)

Ans. c. 18

Is this solution Helpfull? Yes | No (7)  

shilpy  (9 years ago)

more women:less days
5/3=t/16
so t=80/3

Is this solution Helpfull? Yes | No (6)  

tirupathi reddy  (9 years ago)

Ans is a 24
w 1 h work is 1/150
5w 16 h work is 8/15
Remain 7/15 done by 3 w in 24 hours

Is this solution Helpfull? Yes | No (6)  

atul  (9 years ago)

e.none of dese
ans:70/3

Is this solution Helpfull? Yes | No (5)  

veer kumar  (9 years ago)

answer will be none of the above
work is= 5*30 women hours=150 women hours
work done in 16 hours=16*5=80 women hours
now work left=150-80=70 women hours
now 70 women hours work is to be done by 3 women in "x" days
=>70=3*x =>x=70/3

Is this solution Helpfull? Yes | No (4)  

rahul sah  (9 years ago)

this ques is very easy...refer r s agrwal.......
more women -->less hours hence inversely proportional.
After 16 hours.....the same task can be completed by 5 women in 14 hours
and it is asked how many hours for 3 women.....
hence it will be....
5 *14=x*3 => x=70/3,,,,,one step answer hence option d

Is this solution Helpfull? Yes | No   

Arun Kumar  (9 years ago)

5w*30h=W
16h*5+3*(x-16)=W=150wh
=>x=118/3=39.33h

Is this solution Helpfull? Yes | No   

karan kishan  (6 years ago)

5 women completes work in 30 hours.
Work done in 1 hour by 5 women=100/30(in %)=3.33%
After 16 hours the work has been completed=16*3.33=53.28%
Remaining works =(100-53.28)%=46.72%
The remaining works has to be done by only (5-2=3) women, as two women decided to leave.
Work done by a woman in 1 hour=3.33/5=0.667 %
In a hour, the work can be done by 3 women=0.667*3=2.001%
To acquire remaining works,
hours=46.72/2.001=23.34 hours
Total time to complete the work = 16+23.34=39.34
39.34=118/3
Ans:d

Is this solution Helpfull? Yes | No   

neha singh  (6 years ago)

118/3 is ans

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