Target SBI PO Mains: Aptitude day 9 :

Time and Work

Q.1) Roy and Paul are two workers working together they can complete the Whole work in 10 hours. If Roy worked for 2.5 hours and Paul worked for 8.5 hours. Still there was half of the work to be done. If Roy is working alone, then how much percent of the work is done by Roy in six hours?

a) 45%

b) 35%

c) 25%

d) 15%

e) None of these

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Q.2) A tank can be filled by two pipes P and Q in 18 minutes and 27 minutes respectively. If both the pipes are opened simultaneously such that the pipe P is opened first and pipe Q next to it. Thus, after how much time should pipe P be closed so that the unfilled part of the tank is filled in by pipe Q in 12 minutes?

a) 15 minutes

b) 12 minutes

c) 9 minutes

d) 6 minutes

e) None of these.

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Q.3) A, B and C working together can complete a work in  hours. If A works at half his own speed and C works at twice his own speed, the time taken to complete the work (all three still working together) remains same. If B decreases his speed by 50%, the time taken by B to complete the work becomes equal to time taken by C. Find the time taken (in hours) to complete the work if only A and C work together?

a) 4 hours

b) 5 hours

c) 6 hours

d) 8 hours

e) None of these

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Q.4) P, Q and R can complete a piece of work in 8, 12 and 24 days respectively. P and R started working and Q joined them after one day. If R left 2 days before complete of the work. In how many days was the work finished?

a) 17/3 days

b) 14/3 days

c) 29/6 days

d) 31/6 days

e) None of these

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Q.5) Three pipes P, Q and R can fill a tank in 18, 24 and 32 minutes respectively. The pipe P is closed 9 minutes 45 seconds before the tank is filled. In What time will the tank be full?

a) 18minutes

b) 16minutes

c) 14minutes

d) 12minutes

e) None of these

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Q.6) The total work is 851. Deva’s one day’s work is 17 and Bala’s one day’s work is 39. They worked for 4 days and Deva left. Maya’s one day’s work is 15. Now Maya and Bala worked for 5 days and Bala left. Diya’s one day’s work is 17. Now Diya and Maya worked for 3 days and Maya left and the rest of the work is done by Diya and Mala. If Mala’s one day’s work is 12 then how many days did Diya and Mala work?

a) 22 days

b) 25 days

c) 31 days

d) 38 days

e) None of these

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Q.7) A certain number of people get together to make their contribution in the construction of a Hotel. But every month three people step out of this plan. Due to this the task is completed in 1 more year instead of one year. Then how many people were originally involved in this group?

a) 79

b) 68

c) 70

d) 64

e) None of these

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Q.8) Pipe A can fill the tank in 40 hours when it works at 30% of its efficiency. Pipe B is one-fourth as efficient as pipe A. How long will it take if both the pipes operate simultaneously at their 100% efficiency?

a) 7 hours

b) 8.1 hours

c) 9.2 hours

d) 10.4 hours

e) None of these

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Q.9) The amount of work to be done in a company is increased by 80%. By what percentage is it necessary to increase the number of workers to complete the new work in the same time as before if the new workers are 60% more efficient?

a) 75%

b) 60%

c) 50%

d) cannot be determined

e) None of these

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Q.10) X and Y can complete a task in 35 days, when working together. After X and Y have been working together for 10 days, Y is called away and X, all by himself completes the task in the next 12 days. Had X been working alone, the number of days taken by him to complete the task would have been

a) 19 5/11 days

b) 60 days

c) 16 4/5 days

d) 32 days

e) None of these

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