Question types

Time and Work question types

67 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

67
Questions
4
Question groups
5
Question types
Sample Questions

Time 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:
  • A
    $12\frac{1}{2}\ \text{days.}$
  • B
    $15\ \text{days.}$
  • $16\frac{2}{3}\ \text{days}.$
  • D
    $14\ \text{days.}$

Answer: C.

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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.

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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.

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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.

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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:
  • $10\ \text{days}.$
  • B
    $7\frac{1}{2}\ \text{days}.$
  • C
    $12\ \text{days.}$
  • D
    $10\frac{1}{2}\ \text{days.}$

Answer: A.

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$A$ 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?
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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?
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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?
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Q 103 Marks Question3 Marks
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?
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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$?$
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$A$ 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.
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$A$ 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$?$
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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$?$
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$A$ 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$?$
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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.

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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.
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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.
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