7 men and 5 women can do a work in 6 days Also 6 men and 7 women can do same work in 6 days Find in ...........

Quantitative Aptitude ( CCS) Time and work

7 men and 5 women can do a work in 6 days. Also 6 men and 7 women can do same work in 6 days. Find in how many days will 2 men & 2 women can finish the work?

19 days

15 days

10 days

14 days

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Explanation:

Solution:
7M + 5W =6
42M+30W = 1……………….(1)
6M +7W =6
36M + 42W =1……………..(2)
FROM (1) & (2)
. 42M + 30W =1
-36M (-)+ 42W =(-)1
6M -12W =0
6M =12W
M =2W…….PUT IT IN EQUATION(1)
S0 .. 14W +5W= 6
19W =6
1W = 6*19
6W = 6*19/6 =19DAYS