Elitmus
Exam
Numerical Ability
Time and Work
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
Read Solution (Total 25)
-
- 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 - 10 years agoHelpfull: Yes(68) No(9)
- 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 - 10 years agoHelpfull: Yes(33) No(4)
- e.none of these
ans will be 70/3. - 10 years agoHelpfull: Yes(19) No(10)
- 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 - 10 years agoHelpfull: Yes(15) No(3)
- 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 - 10 years agoHelpfull: Yes(12) No(0)
- (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
- 10 years agoHelpfull: Yes(11) No(1)
- ans will be 118/3
- 10 years agoHelpfull: Yes(9) No(2)
- Ans is option (d)
- 10 years agoHelpfull: Yes(7) No(3)
- 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 - 10 years agoHelpfull: Yes(6) No(3)
- 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 - 10 years agoHelpfull: Yes(4) No(0)
- 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 - 10 years agoHelpfull: Yes(3) No(0)
- (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 - 10 years agoHelpfull: Yes(2) No(5)
- 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 - 10 years agoHelpfull: Yes(1) No(9)
- 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
- 10 years agoHelpfull: Yes(1) No(0)
- the easiest ever..118/3
- 9 years agoHelpfull: Yes(1) No(1)
- 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
- 8 years agoHelpfull: Yes(1) No(0)
- Ans. c. 18
- 10 years agoHelpfull: Yes(0) No(7)
- more women:less days
5/3=t/16
so t=80/3 - 10 years agoHelpfull: Yes(0) No(6)
- 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 - 10 years agoHelpfull: Yes(0) No(6)
- e.none of dese
ans:70/3 - 10 years agoHelpfull: Yes(0) No(5)
- 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 - 10 years agoHelpfull: Yes(0) No(4)
- 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 - 10 years agoHelpfull: Yes(0) No(0)
- 5w*30h=W
16h*5+3*(x-16)=W=150wh
=>x=118/3=39.33h - 10 years agoHelpfull: Yes(0) No(0)
- 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 - 7 years agoHelpfull: Yes(0) No(0)
- 118/3 is ans
- 6 years agoHelpfull: Yes(0) No(0)
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