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Time and Work Maths - Time and Work

Maharashtra Board - STD 8 - Maths (MSBSHSE - Semi English Medium). 50 questions in this chapter.

Question types

Time and Work question types

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

50
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.

Q 13 Mark Question3 Marks
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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Q 23 Mark Question3 Marks
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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Q 43 Mark 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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Q 53 Mark 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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Q 6MCQ1 Mark
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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Q 7MCQ1 Mark
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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Q 8MCQ1 Mark
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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Q 9MCQ1 Mark
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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Q 10MCQ1 Mark
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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Q 114 Mark Question4 Marks
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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Q 124 Mark Question4 Marks
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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Q 134 Mark Question4 Marks
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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Q 144 Mark Question4 Marks
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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Q 17Solve The Following Question.1MARKS1 Mark
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:
  1. Rs. 1200
  2. Rs. 1500
  3. Rs. 1800
  4. Rs. 2000
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