Arithmetic aptitude :: Time and Work :: General Questions

• Time and Work - General Questions
• Time and Work - Data Sufficiency 1
• Time and Work - Data Sufficiency 2
• Time and Work - Data Sufficiency 3
• Time and Work - Important Formulas and Facts

If $A$ can do a part of work in $n$ days, then $A$'s $1$ day work $=\frac{1}{n}$.

If $A$'s $1$ day's work $=\frac{1}{n}$, then $A$ can complete the work in $n$ days.

If $A$ is twice as good a worker as $B$, then:

Ratio of the work done by $A$ and $B$ $=2:1$.

Ratio of times taken by $A$ and $B$ to finish a work $=1:2$.

20 men can complete 1/3 rd of a work in 20 days .How many more men should be employed to finish the rest of the work in 25 more days ?

Answer:

Explanation:

20 men, 20 days, $\frac{1}{3}$ work = $\frac{1}{20}\times\frac{1}{20}\times\frac{1}{3}$ $=\frac{1}{1200}$ the amount of the work one man does in each day.

To finish $\frac{2}{3}$ the work in 25 days is $\frac{2}{3}\times\frac{1}{25}$ $=\frac{2}{75}$ work needs to be done each day.

$\frac{n}{1200}=\frac{2}{75}$

$75n=2400$

$n=\frac{2400}{75}$ = 32 men.

Since you already have 20 men, you need to hire $12$ more to finish the job on time.

If a typist can type 75 pages of manuscript having 44 lines on each pages and 16 words to the line in 5 days .How many pages of 30 lines each and 16 words to each line can she type in 6 days?

Answer:

Explanation:

$x=\frac{(44\times 16\times 6\times 75)}{(30\times 16\times 5)}$ = 132 pages

The wages of 10 workers for 6 days in a week is Rs.1200.What is the wages for 1 day for 4 workers?

Answer:

Explanation:

$x= \frac{(4\times 1\times 1200)}{(10\times 6)}$ = 80

A can do $\frac{1}{2}$ of work in 5 days. B can do $\frac{3}{5}$ of  the same work in 9 days and C can do $\frac{2}{3}$ of that work in 8 days. In how many days can three of them together do the work?

Answer:

Explanation:

$A$ can do 1 work in 10 days

$B$ can do 1 work in $\frac{(9\times 5)}{3}$ = 15 days

$C$ can do 1 work in $\frac{(8\times 3)}{2}$ = 12 days

$A+B+C$ 's 1 day work $=\frac{1}{10}+\frac{1}{15}+\frac{1}{12}$ $=\frac{1}{4}$

They can complete the work in 4 days

If 5 men or 9 women can do a piece of work in 19 days. 3 men and 6 women will do the same work in ?

Answer:

Explanation:

5 men = 9 women

1 man $=\frac{9}{5}$ women

3 men  + 6 women $=\left(3\times\frac{9}{5}+6\right)$ $=\frac{57}{5}$ women

Given 9 women can do a piece of work in 19 days

$\frac{57}{5}$ women can do the same work in $\frac{(19\times 9\times 5)}{57}$ = 15 days

• Time and Work - General Questions
• Time and Work - Data Sufficiency 1
• Time and Work - Data Sufficiency 2
• Time and Work - Data Sufficiency 3