Quantitative Aptitude

Time, Work, and Projects

198 Questions

Time and work questions test the ability to calculate the time required to complete tasks involving individual or combined worker efficiency. These problems frequently appear in competitive exams to assess logical calculation skills. Topics include pipes, cisterns, group efficiency, and hourly work rates.

Combined work efficiencyMen and days calculationsWorker efficiency ratiosWorking hours per dayLeaving and joining workers

Time, Work, and Projects Questions

Multiple choice exponent of a prime in n! factorial notation combinatorics and mathematical induction permutations and combinations maths

'$X$' completes a job in $2$ days and '$Y$' completes it in $3$ days and '$Z$' takes $4$ days to complete it. If they work together and get Rs. $3,900$ for the job, then how much amount does '$Y$' get?

  1. Rs. $1,800$
  2. Rs. $ 1,200$
  3. Rs. $ 900$
  4. Rs. $ 800$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$X$ do job in $2$ days, $Y$ completes it in $3$ days, $Z$ takes $4$ days.
If $X, Y, Z$ together can do in $1$ day, then 
$= \dfrac {1}{2} + \dfrac {1}{3} + \dfrac {1}{4} = \dfrac {13}{12}$ of work
Therefore, the whole work is done in $\dfrac {12}{13}$ of a day.
Daily wages of $Y = \dfrac {1}{3}\times $ Rs. $ 3,900 =$ Rs. $ 1,300$
$\therefore$ Amount of $Y = \dfrac {12}{13} \times$ Rs. $ 1,300 =$ Rs. $1,200$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Rehna works $2\cfrac { 1 }{ 2 } $ hours each day on her embroidery. She completes the work in $7$ days. How many hours did she take to complete her work?


Ans : $17\cfrac { 1 }{ 2 } $ hrs.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rehana works $2\dfrac{1}{2}$ hrs $= 150 $minutes


As she completed her work in $7$ days,

$150 \times 7 = 1050$ minutes = $\dfrac{1050}{60}$ hours

$=\dfrac{35}{2}$ hours $=17\dfrac{1}{2}$ hours


So, Rehana took $17\dfrac{1}{2}$ hours to complete her work.

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Deepak can paint $\cfrac { 2 }{ 5 } $ of a house in one day. If he continuous working at this rate, how many days will he take to paint the whole house?

  1. $2\cfrac { 1 }{ 2 } $ days
  2. $1\cfrac { 1 }{ 2 } $ days
  3. $\cfrac { 1 }{ 2 } $ days
  4. $2\cfrac { 1 }{ 4 } $ days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\boxed{\text{Work(W)}\propto \text{Days(D)}\\dfrac{W _1}{D _1}=\dfrac{W _2}{D _2}}$

given,
$W _1=\dfrac25\quad D _1=1\,\text{day}\W _2=1\,\,\text{(painting the whole house)}$
to find, $D _2=?$

$\dfrac{2/5}{1}=\dfrac{1}{D _2}\Rightarrow D _2=\dfrac52$

$\therefore D _2=2\dfrac12 \,\text{days}$

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

A can do a piece of work in $24$ days. If B is $60\%$ more efficient then the number of days required by B to do the twice as large as the earlier work is-

  1. $24$
  2. $36$
  3. $15$
  4. $30$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
According to the question-
A can do a piece of work in $24$ days.
$\therefore$ work done by A in $1$ day  $=\cfrac{1}{24}$
Given that, B is $60 \%$ more efficient, i.e., B can do $60 \%$ more work than work done by A in $1$ day-
Work done by B in $1$ day  $=\cfrac{1}{24} + \cfrac{60}{100} \times {1}{24} = \cfrac{1}{15}$
$\therefore$ number of days required by B to do the same work $= 15 $days
$\therefore$ number of days required by B to do the twice as large as the earlier work  $=2 \times 15 = 30$ days
Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

A and B can do a job in $12$ days, B and C can do it in $16$ days. After A has worked for $5$ days and B has worked for $7$ days, C can finish the rest in $13$ days. In how many days can C do the work alone?

  1. $16$ days
  2. $24$ days
  3. $36$ days
  4. $48$ days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solution:-

Let the amount of work done by $A, B,$ and $C$ per day be $x, y$ and $z$ respectively.
Case I:-

$A$ and $B$ can do the job in $12$ days.
$\therefore$ work done by $A$ and $B$ in one day  $=\cfrac{1}{12}$
$\Rightarrow \; x + y = \cfrac{1}{12}$
Case II:-
B and C can do the job in $16$ days.
$\therefore$ work done by B and C in one day  $=\cfrac{1}{16}$
$\Rightarrow \; y + z = \cfrac{1}{16}$
As given, A has worked for $5$ days and B has worked for $7$ days, C can finish the rest in $13$ days.
$5x + 7y + 13z = 1$
$\Rightarrow$ $5x + 5y + 2y + 2z + 11z = 1$
$\Rightarrow$ $5(x + y) + 2(y + z) + 11z = 1$
$\Rightarrow \; 5 \times \cfrac{1}{12} + 2 \times \cfrac{1}{16} + 11z = 1$
$\Rightarrow \; 11z = 1 - \cfrac{5}{12} - \cfrac{1}{8}$
$\Rightarrow \; 11z = \cfrac{22}{48}$
$\Rightarrow \; z = \cfrac{1}{24}$
Therefore, work done by $C$  $1$ day  $=\cfrac{1}{24}$
Hence, C alone can finish the work in $24$ days.

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

If $12$ men complete a work in $20$ days. If only $8$ men are  employed, then the time required  to complete  the same work is

  1. $24$ days
  2. $25$ days
  3. $30$ days
  4. $35$ days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

As $12$ men complete work in $20$ days, $1$ man will complete the same work in

$20\times12=240$ days.

Time required by $8$ men to complete the work=$\dfrac{240}{8}$=$30$ days..

Multiple choice economics employment: growth, informalisation and other issues measures to alleviate unemployment unemployment measures unemployment and employment generation

A person working for 8 hours a day for _______  of the year is regarded as employed on a standard person year basis.

  1. 300 days

  2. 365 days

  3. 273 days

  4. 333 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In Indian labor statistics, a person is considered employed on a Standard Person Year (SPY) basis if they work for 273 days of 8 hours each in a year.

Multiple choice

What is the maximum amount of time that an employee can be required to work without a day off?

  1. 7 days

  2. 10 days

  3. 14 days

  4. 21 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

An employee cannot be required to work more than 7 days without a day off.

Multiple choice

What is the maximum number of hours that an agricultural laborer can be employed per day?

  1. 8 hours

  2. 9 hours

  3. 10 hours

  4. 12 hours
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The maximum number of hours that an agricultural laborer can be employed per day is 8 hours.

Multiple choice

The two-minute rule states that:

  1. If a task can be completed in two minutes or less, do it immediately

  2. If a task can be completed in two minutes or less, delegate it to someone else

  3. If a task can be completed in two minutes or less, schedule it for later

  4. If a task can be completed in two minutes or less, ignore it
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The two-minute rule states that if a task can be completed in two minutes or less, do it immediately.

Multiple choice

What is the maximum amount of time that an employee can be required to work in a day?

  1. 8 hours

  2. 10 hours

  3. 12 hours

  4. 14 hours
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Most employees cannot be required to work more than 12 hours in a day.

Multiple choice

What is the maximum amount of time that an employee can be required to work in a week?

  1. 40 hours

  2. 45 hours

  3. 50 hours

  4. 55 hours
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Most employees cannot be required to work more than 40 hours in a week.