Basic Math MCQ 13 (Men and Women and a wall construction days)
MCQ 13: If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :
a) 12 days b) 14 days c) 16 days d) 18 days
Solution:
Let’s suppose;
Men =M
Women=W
By given statement, work by 3 men or 4 women is eqaul; i-e
3M=4W ==> \( W=\frac{7}{5}M \) —————(1)
Then 7 men and 5 women are;
\[ 7 M + 5 W =7M+\frac{3}{4}M=\frac{31}{4}M \]
So work of 7 men and 5 women are equal to \( \frac{31}{4}Men \)
Now we consider only men;
Data for men can be arranged as;
|
Men |
Days |
|
3 |
43 |
| 31/4 =7.75 |
x |
There is inverse proportion between men and days i-e more men less days wil be required to finish the work!
\[ \frac{x}{43}=\frac{3}{7.75} \] = 16 days aprox
So 7 men and 5 women will finish the wrok in 16 days — option c is correct
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