Question

3men can do a job equivalent to 4women . if 3men can do ajob in 8days in how many days can 5men and 4woman do the same job?​

Answer 1

Given :

3 men can do a job equivalent to 4 women.

Solution :

3 men can do a job in the number of days = 8

1 man can do the same job in the number of days = 8 × 3

                                                                                   = 24 days

4 women can do the job in the number of days = 8

1 woman can do the same job in the number of days = 8 × 4

                                                                                       = 32 days

∵ Work done by one man in one day = $\frac{1}{24}$

∴ work done by 5 men in one day = $\frac{1}{24}\times 5$

                                                         = $\frac{5}{24}$

∵ Work done by one woman in one day = $\frac{1}{32}$

∴ work done by 4 women in one day = $\frac{1}{32}\times 4$

                                                              = $\frac{1}{8}$

Work done by 5 men and 4 women together in one day

= $\frac{5}{24}+\frac{1}{8}$

= $\frac{5+3}{24}$

= $\frac{8}{24}$

= $\frac{1}{3}$  

5 men and 4 women can do the same job in 3 days.