Question

a man takes 10 days to finish a job were as a women takes 6 days to finish a same job . together they worked for 3 days and then the women left. in how many days will the man complete the remaining work​

Answer 1

The man will complete the remaining work in 2 days, if the the man and woman had worked together for 3 days and after 3 days the woman had left.

Step-by-step explanation:

A man takes 10 days to finish a job

So, work done by the man in 1 day = $\frac{1}{10}$

A women takes 6 days to finish the same job

So, work done by the women in 1 day = $\frac{1}{6}$

It is given that together they have worked for 3 days

∴ The work done by man and women together in 3 days will be,

= 3 * [$\frac{1}{10} + \frac{1}{6}$]

= 3 * [$\frac{3+5}{30}$]

=  $\frac{8}{10}$

= $\frac{4}{5}$

∴ The remaining work to be done by the man after the women left,

= 1 - $\frac{4}{5}$

= $\frac{1}{5}$

Since the man can finish 1 job in 10 days

Then, $\frac{1}{5}$th of the job or the work will be finished by the man alone in,

= $\frac{1}{5} * 10$

= 2 days

Thus, the man will complete the remaining work in 2 days.

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