Question

A man takes 10 days to finish the job whereas women takes 6 days to finish the same job . together they worked for 3 days then the women left how long will take to complete the remaining work by man

Answer 1

Man will take time of 2 days to complete the remaining work.

Step-by-step explanation:

A man takes time to finish a job = 10 days

The man can do the job in one day = $\frac{1}{10}$

A women takes time to finish the same job = 6 days

the women can do the job in one day = $\frac{1}{6}$

Together they can do the work in 3 days = $3(\frac{1}{10}+ \frac{1}{6})$

                                                                        = $\frac{3}{10}+ \frac{1}{2}$

                                                                        $=\frac{4}{5}$

After women left the remaining work for men =  $1-\frac{4}{5}$

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

                                                                            = $\frac{1}{5}$

∵ Man can do the job in one day = $\frac{1}{10}$

∴ Man can complete the remaining job = $\frac{1}{5}$ ÷ $\frac{1}{10}$

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

                                                                  = 2 days

Man will take time of 2 days to complete the remaining work.

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