Question

A job is completed by 10 men in 20 days and by 20 women in 15 days. How many days will it take for 5 men and 10 women to finish that work? 14 1/9 days 15 days 17 1/7 days 16 1/7 days

Answer 1

10 men can complete the work in 20 days

=> 5 men can complete the work in 40 days

20 women can complete the work in 15 days.

=> 10 women can complete the work in 30 days

5 men and 10 women can complete the work in  

1/40 + 1/30=7/120

=120/7 days (option c)

Step-by-step explanation:

Answer 2

5 men and 10 women will take $17\frac{1}{7}$ days to complete the job.

Given,

Job is completed by 10 men in 20 days.

Job is completed by 20 women in 15 days.

To Find,

Time taken by 5 men and 10 women to finish the job.

Solution,

10 men take 20 days to complete a particular job.

So,

half the number of men will take double the time.

then,

5 men take 40 days.

5 men = $\frac{1}{40}$ days.

20 women take 15 days to complete a particular job.

So,

half the number of men will take double the time.

then,

10 women take 30 days.

10 women = $\frac{1}{30}$ days.

So,

5 men and 10 women will take,

$\frac{1}{40} +\frac{1}{30}$ =$\frac{7}{120}$ days.

=$\frac{120}{7} days$.

5 men and 10 women will take$17\frac{1}{7}$ days to complete the job.

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