Question

3 men or 5 women can construct a wall in 68 days.How long will it take for 5 men & 3 women to complete the same work.

Answer 1

34 days because in first any one (men/women) can construct a wall in 68 days but at 2nd  both men and women construced so 38 days

Answer 2

The time is taken to complete the same wall by 5 men AND 3 women is 30 days.

Step-by-step explanation:

• Given that 3 men or 5 women can construct a wall in 68 days.

• So, the work rate of men is,

          $3 * Men = 1 wall / 68 days$

                 $W_m= \frac{1}{204}$

• And, the work rate of women is,

          $5 * women = 1 wall / 68 days$

                     $W_w= \frac{1}{340}$

• Now, the time is taken to complete the same wall by 5 men AND 3 women will be. . . . .

                    $Total \hspace{0.1 cm} Time=\frac{1}{5\cdot W_m+3\cdot W_w}$

                                       $=\frac{1}{\frac{5}{204}+\frac{3}{340}}= \frac{1}{\frac{2312}{69360}}$

                                       $=\frac{69360}{2312}$

                                       = 30 days

Hence, the time is taken to complete the same wall by 5 men AND 3 women is 30 days.