Time and Work

A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

1. 6
2. 10
3. 12
4. 15

If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much work as 2 men?

1. 18
2. 20
3. 25
4. 30

A and B working together can finish a piece of work in 12 days while B alone can finish it in 30 days. In how many days can A alone finish the work?

1. 18 days
2. 20 days
3. 24 days
4. 25 days

If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is

1. 7½ days
2. 8 days
3. 9½ days
4. 12 days

4 goats or 6 sheep can graze a field in 50 days. 2 goats and 9 sheep can graze a field in

1. 100 days
2. 75 days
3. 50 days
4. 25 days

A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together.

1. 2 days
2. 3 days
3. 4 days
4. 5 days

76 ladies complete a job in 33 days. Due to some reason some ladies did not join the work and therefore it was completed in 44 days. The number of ladies who did not report for the work is

1. 17
2. 18
3. 19
4. 20

20 workers working for five hours per day complete a work in 10 days. If 25 workers are employed to work 10 hours per day, what is the time required to complete the work?

1. 4 days
2. 5 days
3. 6 days
4. 8 days

X can complete a job in 12 days. If X and Y work together, they can complete the job in 6⅔ days. Y alone can complete the job in

1. 10 days
2. 12 days
3. 15 days
4. 18 days

If 10 persons can dig 8 feet trench in 12 days, then how many days will 8 persons take to dig 6 feet trench?

1. 10 days
2. 10.25 days
3. 11 days
4. 11.25 days

18 men can earn ₹ 360 in 5 days. How much money will 15 men earn in 9 days?

1. ₹ 540
2. ₹ 360
3. ₹ 480
4. ₹ 600

Pipe A can fill a tank in 3 hours. But there is a leakage also, due to which it takes 3.5 hours, for the tank to be filled. How much time will the leakage take in emptying the tank if the tank is filled initially?

1. 10.5 hours
2. 18 hours
3. 20 hours
4. 21 hours

It takes 3 hours to fill a tank but due to a leakage it takes 4 hours. How long would the leak take to empty a full tank?

1. 18 hours
2. 16 hours
3. 12 hours
4. 10 hours

If 15 men can complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be

1. 7 days
2. 8 days
3. 10 days
4. 12 days

Two pipes A and B can independently fill a tank completely in 20 and 30 minutes respectively. If both the pipes are opened simultaneously, how much time will they take to fill the tank completely?

1. 25 minutes
2. 10 minutes
3. 12 minutes
4. 15 minutes

When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?

1. 20
2. 16
3. 22
4. 18

Humans and robots can both perform a job but at different efficiencies. Fifteen humans and five robots working together take thirty days to finish the job, whereas five humans and fifteen robots working together take sixty days to finish it. How many days will fifteen humans working together (without any robot) take to finish it?

1. 36
2. 32
3. 45
4. 40

A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

1. 6 days
2. 10 days
3. 20 days
4. 15 days

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in

1. 8 days
2. 6 days
3. 4 days
4. 12 days

A water tank has three taps A, B, and C. A fills four buckets in 24 mins, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?

1. 60 litres
2. 120 litres
3. 180 litres
4. 240 litres

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in two-thirds the time. How many workers were there in the group?

1. 2
2. 3
3. 5
4. 11

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

1. 30 days
2. 40 days
3. 60 days
4. 70 days

A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?

1. 80
2. 90
3. 165
4. 175

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

1. 18 days
2. 24 days
3. 30 days
4. 36 days

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

1. 8 days
2. 10 days
3. 12 days
4. 15 days

Three machines, A, B and C can be used to produce a product. Machine A will take 60 hours to produce a million units. Machine B is twice as fast as Machine A. Machine C will take the same amount of time to produce a million units as A and B running together. How much time will be required to produce a million units if all the three machines are used simultaneously?

1. 6 hours
2. 8 hours
3. 10 hours
4. 12 hours

Three small pumps and a large pump are filling a tank. Each of the three small pump works at 2/3 the rate of the large pump. If all four pumps work at the same time, they should fill the tank in what fraction of the time that it would have taken the large pump alone?

1. 2/3
2. 1/3
3. 4/7
4. 3/4

Two typists undertake to do a job. The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still 9/20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually?

1. 5 hr and 4 hr
2. 12 hr and 8 hr
3. 8 hr and 5.6 hr
4. 10 hr and 8 hr

A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete the same working in

1. 74 days
2. 80 days
3. 84 days
4. 90 days

A tank is connected with both inlet pipes and outlet pipes. Individually, an inlet pipe can fill the tank in 7 hours and an outlet pipe can empty it in 5 hours. If all the pipes are kept open, it takes exactly 7 hours for a completely filled-in tank to empty. If the total number of pipes connected to the tank is 11, how many of these are inlet pipes?

1. 2
2. 4
3. 5
4. 6

Three carpenters P, Q and R are entrusted with office furniture work. P can do a job in 42 days. If Q is 26% more efficient than P and R is 50% more efficient than Q, then Q and R together can finish the job in approximately

1. 11 days
2. 13 days
3. 15 days
4. 17 days

Four two-way pipes A, B, C and D can either fill an empty tank or drain the full tank in 4, 10, 12 and 20 minutes respectively. All four pipes were opened simultaneously when the tank is empty. Under which of the following conditions the tank would be half filled after 30 minutes?

1. Pipe A filled and pipes B, C and D drained
2. Pipe A drained and pipes B, C and D filled
3. Pipes A and D drained and pipes B and C filled
4. Pipes A and D filled and pipes B and C drained
5. None of the above

A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?

1. 20
2. 30
3. 40
4. 45

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is

1. 100
2. 200
3. 300
4. 400