Time And Work - Aptitude MCQ Questions and Solutions with Explanations Page-2 section-3

11.
A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A ?

A. Rs. 600

B. Rs. 750

C. Rs. 800

D. Rs. 900

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12.
P and Q together can do a job in 6 days. Q and R can finish the same job in $$\frac{{60}}{7}$$ days. P started the work and worked for 3 days. Q and R continued for 6 days to finish the work. Then the difference of days in which R and P can complete the alone is P can complete the job alone is ?

A. 10 days

B. 8 days

C. 12 days

D. 15 days

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13.
If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is Rs. 450, then how many burners can be used for 10 days at 5 hours a day for Rs. 625 ?

A. 12

B. 16

C. 4

D. 8

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14.
X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in ?

A. 27 days

B. 36 days

C. 42 days

D. 18 days

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15.
Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ?

A. 3 : 2

B. 2 : 3

C. 3 : 4

D. 4 : 3

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16.
A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ?

A. $${\text{14}}\frac{1}{3}{\text{ days}}$$

B. $${\text{15}}\frac{2}{3}{\text{ days}}$$

C. $${\text{16}}\frac{1}{3}{\text{ days}}$$

D. $${\text{18}}\frac{2}{3}{\text{ days}}$$

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17.
A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn i.e., first day A does it alone, B does it the second day and C the third day. After that A does it for another day, and so on. After finishing the work they get Rs. 240. If the wages are divided in proportion to the work done by them, find what each will get ?

A. A Rs. 24, B Rs. 54, C Rs. 162

B. A Rs. 22, B Rs.50, C Rs. 132

C. A Rs. 26, B Rs. 52, C Rs. 142

D. A Rs. 20, B Rs. 44, C Rs. 182

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Answer & Solution

Answer: Option A

Solution:

$$\eqalign{ & \left( {{\text{A}} + {\text{B}} + {\text{C}}} \right){\text{'s 3 days work}} \cr & = \frac{1}{{90}} + \frac{1}{{40}} + \frac{1}{{12}} \cr & = \frac{{43}}{{360}} \cr & \left( {{\text{A}} + {\text{B}} + {\text{C}}} \right){\text{'s 24 days work}} \cr & = \frac{{43}}{{360}} \times 8 \cr & = \frac{{344}}{{360}} \cr & {\text{Remaining work}} \cr & = \left( {1 - \frac{{344}}{{360}}} \right) \cr & = \frac{{16}}{{360}} \cr & = \frac{4}{{90}} \cr & {\text{On 25th day, it is A's turn}}{\text{.}} \cr & {\text{A's 1 day's work}} = \frac{1}{{90}} \cr & {\text{Remaining work}} \cr & = \left( {\frac{4}{{90}} - \frac{1}{{90}}} \right) \cr & = \frac{3}{{90}} \cr & = \frac{1}{{30}} \cr & {\text{On 26th day, it is B's turn}}{\text{.}} \cr & {\text{B's 1 day's work}} = \frac{1}{{40}} \cr & {\text{Remaining work}} \cr & = \left( {\frac{1}{{30}} - \frac{1}{{40}}} \right) \cr & = \frac{1}{{120}} \cr & {\text{On 27th day, it is C's turn}}{\text{.}} \cr & \frac{1}{{12}}{\text{ work is done by C in 1 day}}{\text{.}} \cr & \frac{1}{{120}}{\text{ work is done by C in }} \cr & = \left( {12 \times \frac{1}{{120}}} \right) \cr & = \frac{1}{{10}}{\text{ day}}{\text{.}} \cr} $$
Hence, the whole work is complete in $${\text{26}}\frac{1}{{10}}$$ days out of which A worked for 9 days,
B worked for 9 days and C worked for $${\text{8}}\frac{1}{{10}}$$ days.
Ratio of wages of A, B and C = Ratio of work done by A, B and C
$$ = \left( {\frac{1}{{90}} \times 9} \right):\left( {\frac{1}{{40}} \times 9} \right)$$ : $$\left( {\frac{1}{{12}} \times 8\frac{1}{{10}}} \right)$$
$$\eqalign{ & = \frac{1}{{10}}:\frac{9}{{40}}:\frac{{27}}{{40}} \cr & = 4:9:27 \cr & \therefore {\text{A's share}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{4}{{40}} \times 240} \right) \cr & = {\text{Rs}}{\text{.24}} \cr & {\text{B's share}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{9}{{40}} \times 240} \right) \cr & = {\text{Rs}}.54 \cr & {\text{C's share}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{27}}{{40}} \times 240} \right) \cr & = {\text{Rs}}{\text{.162}} \cr} $$

18.
A job can be done by 3 skilled workmen in 20 days or by 5 boys in 30 days. How many days will they take if they work together ?

A. 8 days

B. 10 days

C. 11 days

D. 12 days

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19.
P is thrice as good a workman as Q and therefore able to finish a job in 48 days less than Q. Working together, they can do it in ?

A. 18 days

B. 24 days

C. 30 days

D. 12 days

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20.
A does 20% less work than B. If A can complete a piece of work in $$7\frac{1}{2}$$ hours, then B can do it in ?

A. $${\text{6}}\frac{1}{2}{\text{ hours}}$$

B. 6 hours

C. $${\text{5}}\frac{1}{2}{\text{ hours}}$$

D. 5 hours

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Time And Work - Aptitude MCQ Questions and Solutions with Explanations

11. A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A ?

Answer & Solution

Answer & Solution

13. If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is Rs. 450, then how many burners can be used for 10 days at 5 hours a day for Rs. 625 ?

Answer & Solution

14. X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in ?

Answer & Solution

15. Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ?

Answer & Solution

16. A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ?

Answer & Solution

Answer & Solution

18. A job can be done by 3 skilled workmen in 20 days or by 5 boys in 30 days. How many days will they take if they work together ?

Answer & Solution

19. P is thrice as good a workman as Q and therefore able to finish a job in 48 days less than Q. Working together, they can do it in ?

Answer & Solution

20. A does 20% less work than B. If A can complete a piece of work in $$7\frac{1}{2}$$ hours, then B can do it in ?

Answer & Solution

Read More Section(Time and Work)

11.
A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A ?

13.
If the expenditure of gas on burning 6 burners for 6 hours a day for 8 days is Rs. 450, then how many burners can be used for 10 days at 5 hours a day for Rs. 625 ?

14.
X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in ?

15.
Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ?

16.
A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ?

18.
A job can be done by 3 skilled workmen in 20 days or by 5 boys in 30 days. How many days will they take if they work together ?

19.
P is thrice as good a workman as Q and therefore able to finish a job in 48 days less than Q. Working together, they can do it in ?

20.
A does 20% less work than B. If A can complete a piece of work in $$7\frac{1}{2}$$ hours, then B can do it in ?