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Explore popular questions from Time and Work for SSC. This collection covers Time and Work previous year SSC questions hand picked by experienced teachers.

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Time and Work

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Q 1. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in :

A

{tex}5{/tex} days

B

{tex}7\frac{5}{6}{/tex}days

{tex}10{/tex} days

D

{tex}15\frac{2}{3}{/tex}days

Explanation



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Q 2. A and B can do a piece of work in 72 days. B and C can do it in 120 days, A and C can do it in 90 days. In how many days all the three together can do the work ?

A

80 days

B

100 days

60 days

D

150 days

Explanation


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Q 3. A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?

4 days

B

6 days

C

9 days

D

18 days

Explanation

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Q 4. A can do a work in 6 days and B in 9 days. How many days will both take together to complete the work?

A

7.5 days

B

5.4 days

3.6 days

D

3 days

Explanation

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Q 5. A and B can do a piece of work in 10 days, B and C in 15 days and C and A in 20 days. C alone can do the work in :

A

60 days

120 days

C

80 days

D

30 days

Explanation




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Q 6. A can do a piece of work in 4 hours; B and C can do it in 3 hours. A and C can do it in 2 hours. How long will B alone take to do it ?

A

10 hours

12 hours

C

8 hours

D

24 hours

Explanation

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Q 7. A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in

A

{tex}\frac{1}{4}{/tex} day

B

{tex}\frac{7}{24}{/tex}day

{tex}3\frac{3}{7}{/tex}days

D

4 days

Explanation

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Q 8. A and B together can do a piece of work in 10 days. A alone can do it in 30 days. The time in which B alone can do it is

A

10 days

B

12 days

15 days

D

20 days

Explanation

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Q 9. A and B together can complete a piece of work in 72 days, B and C together can complete it in 120 days, and A and C together in 90 days. In what time can A alone complete the work ?

A

80 days

B

100 days

120 days

D

150 days

Explanation



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Q 10. A and B together can do a work in 8 days, B and C together in 6 days while C and A together in 10 days, if they all work together, the work will be completed in :

A

{tex}3\frac{3}{4}{/tex}days

B

{tex}3\frac{3}{7}{/tex}days

{tex}5\frac{5}{47}{/tex}days

D

{tex}4\frac{4}{9}{/tex}days

Explanation


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Q 11. A and B can do a piece of work in 12 days, B and C in 8 days and C and A in 6 days. How long would B take to do the same work alone ?

A

24 days

B

32 days

C

40 days

48 days

Explanation




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Q 12. A and B can complete a piece of work in 30 days, B and C in 20 days, while C and A in 15 days. If all of them work together, the time taken in completing the work will be

A

10 days

B

12 days

C

{tex}12\frac{2}{3}{/tex}days

{tex}13\frac{1}{3}{/tex}days

Explanation



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Q 13. A and B together can complete a work in 8 days and B and C together in 12 days. All of the three together can complete the work in 6 days. In how much time will A and C together complete the work ?

8 days

B

10 days

C

12 days

D

20 days

Explanation




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Q 14. A alone can complete a work in 12 days. A and B together can complete it in 8 days. How long will B alone take to complete the work ?

24 days

B

18 days

C

16 days

D

20 days

Explanation

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Q 15. If A and B together can complete a work in 18 days, A and C together in 12 days and B and C together in 9 days, then B alone can do the work in

A

18 days

24 days

C

30 days

D

40 days

Explanation



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Q 16. While working 7 hours a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 hours a day ?

3 days

B

4 days

C

2.5 days

D

3.6 days

Explanation


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Q 17. A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A in 15 days. In how many days will C finish it alone ?

A

24 days

B

30 days

40 days

D

60 days

Explanation



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Q 18. If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ?

60 days

B

45 days

C

40 days

D

30 days

Explanation

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Q 19. If A and B together can complete a work in 12 days, B and C together in 15 days and C and A together in 20 days, then B alone can complete the work in

A

30 days

B

25 days

C

24 days

20 days

Explanation


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Q 20. A work can be completed by P and Q in 12 days, Q and R in 15 days, R and P in 20 days. In how many days P alone can finish the work?

A

10 days

B

20 days

30 days

D

60 days

Explanation

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Q 21. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in

A

4 days

B

5 days

6 days

D

7 days

Explanation



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Q 22. A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then A, B and C together can do the work in

A

28 days

B

14 days

{tex}5\frac{5}{7}{/tex}days

D

{tex}8\frac{2}{7}{/tex}days

Explanation


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Q 23. A and B working together; can do a piece of work in {tex}4\frac{1}{2}{/tex}hours. B and C working together can do it in 3 hours. C and A working together can do it in {tex}2\frac{1}{4}{/tex}hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.

A

3 hours

2 hours

C

2·5 hours

D

3·25 hours

Explanation



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Q 24. A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work ?

16 days

B

15 days

C

12 days

D

10 days

Explanation


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Q 25. A and B together can do a piece of work in 5 days and A alone can do it in 8 days. B alone can do the same piece of work in

A

{tex}11\frac{1}{3}{/tex}days

B

{tex}12\frac{3}{5}{/tex}days

{tex}13\frac{1}{3}{/tex}days

D

{tex}16\frac{4}{5}{/tex}days

Explanation