Latest Wipro Aptitude Question SOLUTION: One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men & 3 women can do it in 120 hours. 5 Men & 12 boys can do it in

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(#M40006447) WIPRO Logical Reasoning question Time and work problems Keep an EYE

One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men & 3 women can do it in 120 hours. 5 Men & 12 boys can do it in how many hours?
(A) 39 1/11 hrs (B) 42 7/11 hrs ( C) 43 7/11 days (D) 44hrs

Asked In Wipro (12 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Reck  (12 years ago)

m+3w+4b=1/96...1
2m+8b=1/80...2
2m+3w=1/120....3
2*eq(2)
4m+16b=1/40...4
eq(3)+eq(4)
5m+12b+(m+3w+4b)=1/40+1/120
5m+12b=11/480
so ans 43 7/11

Is this solution Helpfull? Yes (14) | No (9)  

smriti kumari  (8 years ago)

m+3w+4b 1hrs work=1/96---1
2m+8b=1/80---2
2m+3w=1/120---3
so from 2 eq
m+4b=1/160 putting this value in 1 equation
(m+4b)+3w=1/96
so 1/160+3w=1/96
3w=2/480 so 1w=2/480*3 ;
putting w value in 3 equation
1m=1/480;
putting all values in 1st
1b=1/480*2
so 5m+12b=5*1/480+12*1/480*2=11/480
so work will be done in 480/11

Is this solution Helpfull? Yes (3) | No (1)  

Siju Varghese  (5 years ago)

Let’s assume man, women and boy as M, W, B respectively.
So, m+3W+4B=1/96 ------- (1)
2M+8B=1/80 -------- (2)
2M+3W=1/120 --------- (3)
As per above equation.
4M+16B=1/40 --------- (4)
eq(3)+eq(4)
5M+12B+(M+3W+4B) = 1/40+1/120
5M+12B=11/480 = 43 7/11 hrs.

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YUKTI SETH  (4 years ago)

(m + 3w + 4 b) = 1/96

2m + 6w + 8b) = 1/48————1

(2m + 3 w ) = 1/120————2

(2m + 8b) = 1/80————-3

1 -,3 gives 6w = 1/120

w= 1/720

From 2 , 2m = 1/120 - 1/240 = 1/240.

5 m = 1/96

From 3 , 8b = 1/80 - 1/240 = 1/120

12 b = 1/80

5m + 12 b =11/480

Answer 43.63 hours .

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