Question

4 men and 9 women finish a job in 12 days while 3 men and 10 men finish it in 14 days.In how many days will 13 women finish it

Answer 1

28 days will be required to finish the work by 13 women.

Step-by-step explanation:

Given that,

Work done by 4Men and 9Women per day = 1/12

m is the no. of days a man takes to do the work and w is the days a woman takes to complete the work. So,

4/m + 9/w = 1/12        ...(i)

3 men and 10 women complete 1/14 of the work per day

3/m + 10/w = 1/14       ....(ii)

By solving equation (i) and (ii)

we get w = 364

∵ The days 13 women would require to do the work = 364/13

= 28 days

Learn more: find the no. of days required to complete the work

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