# A Particular Work Can Be Completed by 6 Men and 6 Women in 24 Days; Whereas the Same Work Can Be Completed by 8 Men and 12 Women in 15 Days. Find : (I) According to the Amount of Work Do - Mathematics

Sum

A particular work can be completed by 6 men and 6 women in 24 days; whereas the same work can be completed by 8 men and 12 women in 15 days. Find :
(i) according to the amount of work done, one man is equivalent to how many women.
(ii) the time is taken by 4 men and 6 women to complete the same work.

#### Solution

6 men + 6 women can finish the work in = 24 days

144 men + 144 women can finish it in = 1 day

8 m + 12 women can finish the work in = 15 days

120 men + 180 women can finish it in = 1 day

(i) 144 men + 144 women = 120 men + 180 women

⇒ 144 men – 120 men

= 180 – women – 144 women

⇒ 24 men = 36 women

1 man =36/24

=3/2 women

=1 1/2 women

(ii) In first case,

6xx3/2+6=9+6

= 15 women

In second case,

4xx3/2+6

= 6 + 6

= 12 women

Now, 15 women can do a piece of work in = 24 days

1 women will do it in =  24 × 15 days

and 12 women will do it in

=(24xx15)/12

= 30 days

Concept: Concept for Unitary Method (With Only Direct Variation Implied)
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (C) | Q 13 | Page 126