A water tank has three taps A, B and C.Tap A, when opened, can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously how long will it take to fill the tank completely ?

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BANK PO Exam (Indian Bank) 2011 click here to view all questions

A water tank has three taps A, B and C.Tap A, when opened, can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously how long will it take to fill the tank completely ?

A10 hours

B17 hours

C18 hours

D12 hours

Akilesh Kharvi ? May 29 '2017 at 18:52

Anwer is : 12 hours

Explanation:

Part of the tank filled in 1 hour when all the taps are opened

= \(\frac{1}{4}+\frac{1}{6}-\frac{1}{3}\)

= \(\frac{3+2-4}{12}\)

=\(\frac{1}{12}\)

Hence, the tank will be filled in 12 hours.

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Vikas gets Rs 350 for every day that he works. If he earns Rs 9,800 in a month of 31 days, for how many days did he work ?

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BANK PO Exam (PNB Bank) 2010 click here to view all questions

Vikas gets Rs 350 for every day that he works. If he earns Rs 9,800 in a month of 31 days, for how many days did he work ?

A25 days

B30 days

C24 days

D28 days

Akilesh Kharvi ? May 29 '2017 at 18:40

Answer is : 28 days

Explanation:

Number of days = \(\frac{9800}{350}\)= 28

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2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, where as 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many total men would be required ?

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BANK PO Exam (United Bank of India) 2010 click here to view all questions

2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, where as 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many total men would be required ?

A 4

B8

C6

DCannot be determined

Akilesh Kharvi ? May 29 '2017 at 18:34

Answer is : 8

Explanation:

 \(2 \times 6\) men = 18 women = 24 children

2 men = 3 women = 4 children

3 women + 4 children = 4 men

part of work done in 1 day by 4 men = \(\frac{1}{3}\)

Remaining \(\frac{2}{3}\) work will be finished by 8 men in 1 day.

Hence, 8 men would be required.

 

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8 men can complete a piece of work in 20 days. 8 women can complete the same workin 32 days. In how many days will 5 men and 8 women together complete the samework ?

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BANK PO Exam (Central Bank) 2010 click here to view all questions

8 men can complete a piece of work in 20 days. 8 women can complete the same workin 32 days. In how many days will 5 men and 8 women together complete the samework ?

A16 days

B12 days

C14 days

D10 days

Akilesh Kharvi ? May 29 '2017 at 15:44

Answer is : 16 days

Explanation:

8 × 20 men = 8 × 32 women

5 men = 8 women

5 men + 8 women =16 women

\(M_1D_1 = M_2D_2\)

\(8 × 32 = 16 × D2\)

\(D2= \frac{8\times32}{16} = \text{16 days}\)

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3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work ?

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BANK PO Exam (Bank Of Baroda) 2010 click here to view all questions

3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work ?

A 3 days

B5 days

C2 days

D4 days

Akilesh Kharvi ? May 29 '2017 at 15:9

Answer is : 3 days

Explanation:

18 men = 5 × 18 = 90 women

1 man = 5 women

4 men +10 women = 30 women

\(M_1D_1 = M_2D_2\)

\(5 \times 18 = 30 D_2\)

D2 = \(\frac{5\times18}{30}= 3 \text{ days}\) 

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6 men can complete a piece work in 12 days. 8 women can complete the same piece of work in 18 days where as 18 children can complete the piece of work in 10 days. 4men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day howmany men would be required totally ?

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BANK PO Exam (Bank Of India) 2010 click here to view all questions

6 men can complete a piece work in 12 days. 8 women can complete the same piece of work in 18 days where as 18 children can complete the piece of work in 10 days. 4men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day howmany men would be required totally ?

A 36

B24

C18

DCannot be determined

Akilesh Kharvi ? May 29 '2017 at 14:52

Answer is : 36

Explanation:

72 men = 144 women = 180 children

2 men = 4 women = 5 children

4 men +12 women + 20 children = 4 men+ 6 men+ 8 men = 18 men

When 6 men do 1 work in 12 days18 men will do the same in 4 days.

 In 2 days half work will done.

Remaining work = \(\frac{1}{2}\)

\(\therefore \frac{M_1 D_1}{W_1} = \frac{M_2 D_2}{W_2}\)

=> \(\frac{1}{2}\times 6 × 12 = l \times M_2\)

=> \(M_2 = 36 = \) Number of men

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Ayesha can complete a piece of work in 16 days. Amita can complete the same piece of work in 8 days. If both of them work together in how many days can complete the same piece of work ?

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BANK PO Exam (Indian Bank) 2010 click here to view all questions

Ayesha can complete a piece of work in 16 days. Amita can complete the same piece of work in 8 days. If both of them work together in how many days can complete the same piece of work ?

A6 days

B$$4\frac{2}{5}\text{ days}$$

C$$5\frac{1}{3}\text{ days}$$

D12 days

Akilesh Kharvi ? May 29 '2017 at 14:39

Answer is : \(5 \frac{1}{3}\)days

Explanation:

 Ayesha’s and Amita’s 1 day’s work = \(\frac{1}{16}+\frac{1}{8} \)= \(\frac{1+2}{16}\) = \(\frac{3}{16}\)

Ayesha and Amita together can completethe work in \(\frac{16}{3}= 5\frac{1}{3} \) days

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