Sample QuestionsTime and Work questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Tick the correct answer in the following: A can do a piece of work in $25$ days, which $B$ alone can do in $20$ days. A started the work and was joined by $B$ after $10$ days. The work lasted for:
Answer: C.
View full solution →Tick the correct answer in the following: $3$ men or $5$ women can do a work in $12$ days. How long will $6$ men and $5$ women take to do it?
- A
$6$ days.
- B
$5$ days.
- ✓
$4$ days.
- D
$3$ days.
Answer: C.
View full solution →Tick the correct answer in the following: $A$ and $B$ together can do a piece of work in $12$ days; $B$ and $C$ can do it in $20$ days while $C$ and $A$ can do it in $15$ days. $A, B$ and $C$ all working together can do it in
- A
$6$ days.
- B
$9$ days.
- ✓
$10$ days.
- D
$10\frac{1}{2}$ days.
Answer: C.
View full solution →Mark againts the correct answer in the following: The rates of working of two tapes $A$ and $B$ are in the ratio $2 : 3$. The ratio of the time taken by $A$ and $B$ respectively to fill a given cistern is:
- A
$2 : 3$
- ✓
$3 : 2$
- C
$4 : 9$
- D
$9 : 4$
Answer: B.
View full solution →Tick the correct answer in the following:A can do a piece of work in $15$ days. $B$ is $50\%$ more efficient than $A. B$ can finish it in:
Answer: A.
View full solution →Assertion (A): If 100 men together can do a work in 1 day then 1 man alone can do it in 100 days.
Reason (R): 100 men's 1 day's work $=1$.
Then, 1 man's 1 day's work $=\frac{1}{100}$.
- A
Both A and R are true and R is the correct explanation of A
- B
Both A and R are true but R is not the correct explanation of A
- C
- D
View full solution →Assertion (A): If $A$ alone can do a work in 5 days and $B$ alone can do it in 10 days then the rates of working of $A$ and $B$ are in the ratio $5: 10$.
Reason (R): More the rate of working, lesser is the time taken to do the work.
- A
Both A and R are true and R is the correct explanation of A
- B
Both A and R are true but R is not the correct explanation of A
- C
- D
View full solution →Assertion (A): $C$ does a work in 6 days, $B$ does the same work in 2 days and $A$ does it in 1 day.
Reason (R): $A$ is twice as fast as $B$ and $B$ is thrice as fast as $C$.
- A
Both A and R are true and R is the correct explanation of A
- B
Both A and R are true but R is not the correct explanation of A
- C
- D
View full solution →Assertion (A): A alone can do a piece of work in 10 days. B is $50 \%$ more efficient than $A$. Then, $B$ can do that work alone in 5 days.
Reason (R): Ratio of rates of working of $A$ and $B=2: 3$.
- A
Both A and R are true and R is the correct explanation of A
- B
Both A and R are true but R is not the correct explanation of A
- C
- D
View full solution →Assertion (A): A alone can do a piece of work in 10 days. $B$ is $50 \%$ more efficient than $A$. Then, $B$ can do that work alone in 5 days.
Reason (R): Ratio of rates of working of $A$ and $B=2: 3$.
Answer: D.
View full solution →$A$ and $B$, working together can finish a piece of work in $6$ days, while $A$ alone can do it in $9$ days. How much time will $B$ alone take to finish it?
View full solution →Pipe $A$ can fill an empty tank in $5$ hours while pipe $B$ can empty the full tank in $6$ hours. If both are opened at the same time in the empty tank, how much time will they take to fill it up completely?
View full solution →Ravi can do a piece of work in $15$ hours while Raman can do it in $12$ hours. How long will both take to do it, working together?
View full solution →A pipe can fill a cistern in $9$ hours. Due to a leak in its bottom, the cistern fills up in $10$ hours. If the cistern is full, in how much time will it be emptied by the leak?
View full solution →A pipe can fill a cistern in $9$ hours. Due to a leak in its bottom, the cistern fills up in $10$ hours. If the cistern is full, in how much time will it be emptied by the leak?
View full solution →A can do a piece of work in $14$ days while $B$ can do it in $21$ days.They began together and worked at it for $6$ days. Then, $A$ fell ill and $B$ had to complete the remaining work alone. In how many days was the work completed$?$
View full solution →$A$ and $B$ can finish a piece of work in $16$ days and $12$ days respectively. $A$ started the work and worked at it for $2$ days. He was then joined by $B.$ Finish the total time taken to finish the work.
View full solution →$A$ and $B$ can do a piece of work in $18$ days $B$ days $B$ and $C$ can do it in $24$ days while $C$ and $A$ can finish it in 36 days. In many days can $A, B$ and $C$ finish it, if they all work together$?$
View full solution →A can do $\frac{2}{3}$ of a certain work in $16$ days and $B$ can do $\frac{1}{4}$ of the same work in $3$ days. In how many days can both finish the work, working together$?$
View full solution →$A$ and $B$ can do a piece of work in $12$ days, $B$ and $C$ in $15$ days and $C$ and $A$ in $20$ days. How much time will A alone take to finish the job$?$
View full solution →View full solution →View full solution →Fill in the blanks. A tap can fill a tank in $6$ hours. The part of the tank filled in $1 $ hour is _______.
View full solution →Tick the correct answer in the following: A alone can finish a piece of work in $10 $ days which $B$ alone can do in $15$ days. If they work together and finish it, then out of total wages of $Rs. 3000,$ A will get:
- A
$Rs. 1200$
- B
$Rs. 1500$
- ✓
$Rs. 1800$
- D
$Rs. 2000$
Answer: C.
View full solution →Fill in the blanks.
$A$ and $B$ working together can finish a piece of work in $6$ hours while $A$ alone can do it in $9$ hours. $B$ alone can do it in ______ hours.
View full solution →Fill in the blanks. If $A's$ one day's work is $\frac{3}{20},$ then A can finish the whole work in ______ days.
View full solution →Fill in the blanks.
A can do a work in $16$ hours and $B$ alone can do it in $24$ hours. If $A, B$ and $C$ working together can finish it in $8$ hours, then $C$ alone can finish it in ______ hours.
View full solution →