Question

George and mark work for a company. George can finish a certain job in 30 days. Mark can finish the same job in 45 days. A project was taken by the company and george was made superior to mark. This move from the company was not liked by mark. So mark did not work for 15 days. Find the total number of days the entire work was complet

Answer 1

30+30
60 ,days it took comple

Answer 2

Answer:

28 days

Step-by-step explanation:

George can finish a certain job in 30 days.

George can do a part of work in 1 day =$\frac{1}{30}$

Mark can finish the same job in 45 days.

Mark can do a part of work in 1 day =$\frac{1}{45}$

Together they can do a part of work in 1 day = $\frac{1}{30}+\frac{1}{45}$

                                                                           = $\frac{1}{18}$

So, they can do  $\frac{1}{18}$ in days = 1

They can do whole work in days  = $\frac{1}{\frac{1}{18}}$=18

Since we are given that mark did not work for 15 days.

So, they did total work together for 18-15 = 3 days

Together they can do a part of work in 1 day = $\frac{1}{18}$

Together they can do a part of work in 3 days = $\frac{1}{18} \times 3 =\frac{1}{6}$

Remaining work = $1- \frac{1}{6}= \frac{5}{6}$

Remaining work is done by George

George can do whole work in 30 day

So, he can do $\frac{5}{6}$ work in days = $\frac{5}{6} \times 30 = 25 days$

So, total work is done in days = 25+3=28 days

Hence the total number of days the entire work was complete in 28 days