Time & Work

Q.

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

1. 12 min

2. 50 min

3. 15 min

4. 25 min

5. 30 min

Q.

If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years, then what is Gagan's present age?

1. 84 years

2. 60 years

3. 67 years

4. 48 years

5. 96 years

Q.

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?

1. 6

2. 

3. 

4. 

5. 

Q.

Choose the correct option. On an average, a content developer can develop $6$ questions in an hour. Resource manager wants to complete the project of $2400$ questions in $20$ hours. How many developers should he take in his team?

1. $30$

2. $20$

3. $40$

4. $10$

Q.

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:

1. 20/3 hrs

2. 15/2 hrs

3. 7 hrs

4. 8 hrs

5. 6 hrs

Q.

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but independently, to do the same job?

1. 50/9 hrs

2. 4 hrs

3. 60/9 hrs

4. 40/9 hrs

5. None of these

Q.

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

1. 3 hrs 45 min

2. 4 hrs

3. 4 hrs 15 min

4. 5 hrs

Q.

10 men and 15 women together can complete a work in 6 days. It takes 100 days for 1 man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

1. 145

2. None of these

3. 90

4. 150

5. 125

Q.

A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?

1. Approximately 6.4 days

2. Exactly 8 days

3. Exactly 6 days

4. More than 10 days

5. Less than 6 days

Q.

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?

1. 100 gallons

2. 120 gallons

3. 60 gallons

4. 180 gallons

5. 200 gallons

Q.

$12$ men complete a work in $9$ days. After they have worked for $6$ days, $6$ more men join them. How many days will they take to complete the remaining work?

1. $2$ days

2. $3$ days

3. $4$ days

4. $5$ days

5. None of these

Q. A tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours, individually, while each of those that empty the tank i.e., outlet pipe, can empty it in 6 hours individually. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?

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

Q.

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and child does half the work a man does. How many women alone can complete this work in 7 days?

1. None of these

2. 12

3. 10

4. 7

5. 8

Q.

A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?

1. 5 days

2. 4 days

3. None of these

4. 8 days

5. 6 days

Q.

A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in:

1. 13 days

2. 96/7 days

3. 55/4 days

4. 12 days

5. 9 days

Q.

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

1. 11 days

2. 10 days

3. 15 days

4. 20 days

Q.

A and B can do a job together in 7 days. A is $1\frac{3}{4}$ times as efficient as B. The same job can be done by A alone in how many days?

1. 11 days

2. 7 days

3. days

4. days

5. days

Q.

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together an do it in 2 hours. How long will B alone take to do it?

1. 20 hours

2. 12 hours

3. 24 hours

4. 8 hours

5. 6 hours

Q.

A trader mixes three varieties of groundnuts costing Rs.50, Rs.20 and Rs.30 per kg in the ratio 2 : 4 : 3 by their weight, and sells the mixture at Rs.33 per kg.
What is the profit percentage earned by the trader?

1. 8%

2. 9%

3. 10%

4. 7%

5. None of these

Q.

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours.
How many hours will be taken by C alone to fill the tank?

1. 10

2. 12

3. 16

4. 18

5. 14

Q.

A is thrice as efficient as B and hence completes a work in 40 days less than the number of days taken by B. What will be the number of days taken by both of them when working together?

1. 18 days

2. 22.5 days

3. 20 days

4. 15 days

5. None of these

Q.

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in how many days?

1. 1/24 day

2. 7/24 day

3. None of these

4. 24/7 days

5. 4 days

Q.

Two pipes A and B can fill a drum in 36 hrs and 45 hrs respectively. If both the pipes start at the same time, how long will it take to fill the tank?

1. 40 hrs

2. 50 hrs

3. 20 hrs

4. 35 hrs

5. 60 hrs

Q. 50 cows can graze a field for 40 days and 40 cows can grace the same field for 80 days. Some grass is already there and the grass grows at a constant rate. For how many days can 60 cows graze the same field. (the growth of the grass is also there).

1. 15.66
2. 50.66
3. 60.66
4. 26.66

Q. A person has a chemical costing Rs 25 per litre. In what ratio should water be mixed with the chemical, so that after selling the mixture at Rs 20/litre he may get a profit of 25%?

1. 12 : 15
2. 13 : 16
3. 16 : 9
4. 19 : 22
5. None of the above

Q.

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 outlet pipe is open then in how many hours the full tank becomes half-full?

1. 30

2. 20

3. 40

4. 45

Q. 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?

1. 3 days
2. 2 days
3. 1 day
4. 4 days
5. None of these

Q.

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in how many days?

1. 8 days

2. 12 days

3. 16 days

4. 4 days

5. 6 days

Q.

Four years ago, the father's age was three times the age of his son. The total of the ages of the father and the son after four years, will be 64 years. What is the father's age at present?

1. 32 years

2. 36 years

3. 44 years

4. Data inadequate

5. None of these

Q.

A person can complete a job 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?___