Latest IBM Aptitude Question SOLUTION: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men ?

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15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men ?

Asked In IBM Pradeep Saw (9 years ago)

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Read Solution (8) :

Simranjit Singh  (9 years ago)

Time taken by 1 man by working 1 hr a day= 21*8*15 days
Time taken by 2 men by working 1 hr a day= 21*8*15/2=21*4*15
So time taken by 3 women by working 1 hr a day= 21*4*15
So Time taken by 1 woman by working 1 hr a day=21*4*15*3
So Time taken by 21 women by working 6 hr a day=21*4*15*3/6*21=30 days

Is this solution Helpfull? Yes (44) | No (2)  

BOMMAREDDY PRASANTH  (9 years ago)

15*21*8=2520 man hrs
3w=2men,
1 w=2/3 men,
6d*21*2/3=2520
d=30days

Is this solution Helpfull? Yes (31) | No (2)  

karthiga  (9 years ago)

2 men = 3 women;
21(3*7) women = 2*7 = 14 men
15*21*8 = 6*d*14;
d = 30 days.

Is this solution Helpfull? Yes (12) | No   

KALLOL SAHA  (9 years ago)

2m=3wm So, 15m=45/2wm

w1=w2
wm1d1h1=wm2d2h2
45/2*21*8= 21*d2*6
d2=30 days

Is this solution Helpfull? Yes (6) | No   

viswanath reddy  (9 years ago)

Condition : 3 women do as much work as 2 men

3(women) = 2(men)

Given 21(women) = 7*3(women)

According to condition : 7 * 2 = 14 (men)

formula D = M*D*H/M*H

so Days = 15*21*8/14*6 = 30 Days

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

vinod chandra   (9 years ago)

use MDH M =man D= days H = time /hours

15*21*8=x*14*6

x=15*21*8/14*6

X=30

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Archita Patnaik  (9 years ago)

M1*D1*H1/ W = M2*D2*H2/W M=MAN D=DAY H= HOUR W=WORK

15*21*8/W= M2*D2*6/W (HERE first need to find M2)

availabel woman =21

3 woman work done= 2 men work done
so in the 21 woman, 7 group of 3 woman is there(as 3*7=21) (3w, 3w, 3w..........7 times= 21 woman)

indirect way 2*7= 14 men
so 21 woman strength =14 men strength

15*21*8/w =14*d2*6/w

D2= 30 DAYS...

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Rishab Kumar  (8 years ago)

30
21women=14 men
now, men*days*hours=constant(same work)
15*21*8=14*6*x
x=30

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