Question

2 men or 3 women can do a piece of work in 45 days. Find, in how many days will 6 men and 1 woman be able to complete the same work ?​

Answer 1

if 5persons=45

then 7 person = 45/5=x/7

=x=7×9

=63

Answer 2

Question

1. 2 men or 3 women can do a piece of work in 45 days. Find, in how many days will 6 men and 1 women be able to complete the same work?

Solution

According to the amount of work done, in the same time, 2 men are equivalent to 3 woman

i.e.            2 men = 3 women

                $\sf{1 \: man = \dfrac{3}{2} \: women}$

              $\sf{and, \: 6 \: men \: \dfrac{3}{2} \times 6 \: women = 9 \: women}$

⁂ 6 men + 1 woman = 9 women + 1 woman = 10 women

     Since, 3 women can do the work in 45 days

$\sf{=> 1 \: woman \: will \: do \: the \: work \: in \: 45 \times 3 \: days =135 \: days$

$\sf{=> 10 \: women \: will \: do \: the \: work \: in \: \dfrac{135}{10} \: days = 13 \dfrac{1}{2} \: days$

      ⁂ 6 men and 1 woman will complete the work in 13 1/2 days