Time and Work for SBI PO – 15

1) Aryan can do a piece of work in 16 days. Due to some problem, his efficiency reduces to 40%. Ankur’s efficiency also reduces to two-third his original efficiency. Now they can finish the work in 20 days. Then in how many days can Ankur and Aryan together finish the work at 100% efficiency?

a) 10 days

b) 15 days

c) 17 days

d) 12 days

e) None of these

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2) Two pipes P and Q can fill a tank in 15 hours and 10 hours respectively. Another tap R can empty the full tank in 30 hours. All the three pipes were open for 2 hours. When it was remembered that the emptying pipe had been left opened. It was then closed. How much more time would it take to fill the tank?

a) 5 hours 16 minutes

b) 4 hours 24 minutes

c) 6 hours 14 minutes

d) 5 hours 12 minutes

e) None of these

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3) Three men and four women earn Rs.5568 in 16 days. If seven men and six women earn Rs.7282 in 11 days then in how many days will five men and three women earn Rs.9545?

a) 23 days

b) 27 days

c) 30 days

d) 21 days

e) None of these

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4) Kabir was asked to finish testing of an application in 15 days which is generally completed by him a span of twenty days. His project manager asked his colleague Vikrant to help him in testing the application. This being a new application for Vikrant, he is only 80% as efficient as Kabir. Working together, they will be able to finish the testing in how many days?

a) 100/7 days

b) 125/3 days

c) 120/7 days

d) 150/7 days

e) None of these

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5) X, Y and Z can together finish a job in 1 day. The efficiency of X is thrice that of Z and the efficiency of Y is twice that of Z. What is the ratio of the number of days taken by X and Y together to finish the job to the number of days taken by Y and Z together to finish the job?

a) 3 : 5

b) 5 : 7

c) 7 : 9

d) 5 : 3

e) None of these.

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6) Kohli, Dhoni and Yuvraj are three people who can complete a work in 10, 20 and 25 days respectively. What is the minimum number of days required to complete the work If not more than 2 people among them work on the same day and no 2 consecutive days have the same pair of people working?

a) 7 days

b) 12 days

c) 103/15 days

d) 89/16 days

e) None of these

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7) Mohan, a resident of champa village can dig a well in 5 hours. He invites sohan and Rohan who can individually dig three-fourth as fast as he can to join him. He also invites Mohit and Rohit who can individually dig only one-fifth as fast as he can. If the five persons form a team and dig the same well and they start together, what is the total time taken by them to finish digging 29 such wells?

a) 40 hours

b) 25 1/3 hours

c) 50 hours

d) 35 hours

e) None of these

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8) Ramesh can do a maths assessment consisting of 100 questions alone in 4 hours. Ramesh’s friends Surbhi and Alaka together can do the same set of questions in 1/3 speed of Ramesh. Pintu and Deepak together can do the same set of questions at 1/5 speed of Ramesh. If the five of them do the set of questions together, In how much time can they complete 230 set of questions?

a) 360 minutes

b) 580 minutes

c) 300 hours

d) 620 hours

e) None of these

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9) Kolan can complete a work in 20 days and Renu can complete a work in 30 days. Both of them start the work together and then Solan joins them after some days and the total work is done in 9 days. After that they are paid a sum of Rs.1500. What is the share of Solan?

a) Rs.290

b) Rs.320

c) Rs.380

d) Rs.360

e) None of these

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10) A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working alone and one outlet pipe which can empty the full tank in 8 hours working alone. The inlet pipes are kept open for all the time but the outlet pipes was opened after 2 hours for one hour and then again closed for 2 hours then once again opened for one hour. This pattern of outlet pipes continued till the tank is get completely filled. In how many hours the tank has been filled, working on the given pattern?

a) 9 hours 30 minutes

b) 9 hours 10 minutes

c) 8 hours 25 minutes

d) 8 hours 40 minutes

e) None of these

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