In 1 hour 314 weavers weave = 6594 x 6 shawls
In 1 hour 1 weaver weaves = ( 6594 x 6 ) / 314 shawls = 126 shawls
2 men = 7 boys
? 1 man = 7/2 days
5 women = 7 boys
? 1 women = 7/5 boys
7 men + 5 women + 2 boys = 7 x 7/2 + 5 x 7/5 + 2 = 67/2 boys
Now, B1 x D1 = B2 x D2
7 X 469 = 67/2 x D2
D2 = 98 days
6C + 2M = 6days
36C + 12M = 1 days
Again 1M = 2C
? 36+12X2 = 1 day
60 children can do the work in 1 day
Now, 5 men = 10 children
? 10 children can do the work in 6 days.
Work done by 6 men = work done by 10 women.
Work done by 1 man = work done by 10 / 6 = 5/3 women
? 12 men + 5 women = 12 x ( 5 / 3) + 5 = 25 women
? W1 x D 1 = W2 x D2 W = women, D=days
10 X 15 = 25 x D2
D2 = 6
Suppose the man covers first distance in x hrs. and second distance in y hrs.
Then , 4x + 5y = 35 and 5x +4y= 37
Solving these equation , we get
X=5 and y=3
Total time taken = (5+3) hrs= 8hrs
At a speed of 3/4 of the usual speed, the time taken is 4/3 of the usual time
= (4/3 of usual time ) ? (usual time ) = 20min.
? 4x/3 -x = 20
? x/3 =20
? x=60 min
Ratio of efficiencies of A,B and C = 6 : 5 : 4
? Share of C = [4/(6+5+4)] x 27000 = 7200
Work done by 2 men = 3 woman = 4 boys
? 1 man = 2 boys
1 woman = 4/3 boys
? boys X days = 4 X 52 (boys - days)
Again 1 man + 1 woman + 1 boy = 2 + 4/3 + 1 = 13/3 boys
B1 x D1 = B2 x D2 B = boys, D = days
4 X 52 = 13/3 x D2
D2 = 48 days
Work done = 1/5
remaining work = 4/5
? 4 (20 x 75) = 40 x N
N = 150
Therefore 75 men should be increased.
Work done = 1/3
Remaining work = 2/3
So for double work in same days we need double number of people i.e. 40.
So, 20 men will be increased.
A's 1 day's work = (1/15 - 1/20) = 1/60
? A alone can finish it in 60 days.
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