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Time And Work


1) Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need four and half (4 1/2) hours more to complete the job than they both working together. What time should they take to do the work together ?

  1. 4 hours
  2. 5 hours
  3. 6 hours
  4. 7 hours



2) A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A,B and C work together, they will finish the work in :

  1. 5 days
  2. 7.3 days
  3. 10 days
  4. 12.8 days



3) Raju can do 25% of a work in 5 days. How many days will he take to complete the work ten times ?

  1. 150 days
  2. 250 days
  3. 200 days
  4. 180 days



4) A can lay a railway track between stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in :

  1. 9 (1/5) days
  2. 9 (2/5) days
  3. 9 (3/5) days
  4. 10 days



5) A and B are working on an assignment. A takes 6 hours to type 32 pages, while B takes 5 hours to type 40 pages. How much time will they take working together on two different computers to type an assignment of 110 pages ?

  1. 7 hours 30 minutes
  2. 8 hours
  3. 8 hours 25 minutes
  4. 8 hours 15 minutes



6) X can complete a job in 6 days. Y can complete it in 10 days. If they work on alternate days, the job would be completed in the

  1. less days if X starts the job.
  2. less days if Y starts the job
  3. the same time irrespective of whoever starts the job
  4. None of these



7) P and Q can complete a job in 10 days. Q and R can complete it in 12 days. P and R can complete it in 20 days. Who is the slowest of the three workers ?

  1. P
  2. Q
  3. R
  4. Cannot be determined



8) If ten men can do a job in ten days, what fraction of the job can be done by one man in one day ?

  1. 1/10
  2. 1/100
  3. 1/20
  4. 1/2



9) Tap X can fill a tank in 10 hours. Tap Y can fill it in 15 hours. If the two taps fill the tank together, what fraction of the tank is filled by X?

  1. 1/10
  2. 1/6
  3. 2/3
  4. 3/5



10) Tap A can fill an empty tank in six hours. Tap B can fill it in nine hours . Find the time taken (in hours) if the two taps are opened together to fill the tank ?

  1. 2.7
  2. 3.6
  3. 4.8
  4. 2.4



11) P and Q working together, can complete a job in 48 days. The ratio of their rates of doing work is 3:5. Find the time taken by the faster person to complete the job.

  1. 102.4
  2. 204.8
  3. 409.6
  4. 76.8



12) Find the number of days for which 120 kg of ration will be sufficient for a family of 6 members if each member consumes 2.5 kg of ration per day.

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



13) The ratio of the time taken by A,B and C to complete a job is 3:4:6. Find the ratio of the work they can complete in an hour

  1. 6:4:3
  2. 4:3:2
  3. 2:3:4
  4. 3:4:6



14) Nine men can complete a job in 15 days. If a man works thrice as fast as a woman , find the number of days taken by 15 women to complete the job.

  1. 20
  2. 24
  3. 27
  4. 36



15) Two pipes A and B can fill a cistem in 12 minutes and 15 minutes respectively while a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 5 minutes in the beginning and then C is also opened. In what time is the cistem emptied ?

  1. 30 min
  2. 33 min
  3. 37 1/2 min
  4. 45 min



16) 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. 6 hours
  2. 6 2/3 hrs
  3. 5 hrs
  4. 7 hrs



17) A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold ?

  1. 7580
  2. 7960
  3. 8290
  4. 8640



18) Three pipes A,B and C can fill the 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. The number of hours taken by C alone to fill the tank is:

  1. 60 gallons
  2. 100 gallons
  3. 120 gallons
  4. 180 gallons



19) 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. 60 gallons
  2. 100 gallons
  3. 120 gallons
  4. 180 gallons



20) A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

  1. 15 min
  2. 20 min
  3. 27.5 min
  4. 30 min



21) Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q, having each turn together to fill the empty drum ?

  1. 30
  2. 40
  3. 45
  4. 90



22) Two pipes A and B can together fill a cistem in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately ?

  1. 1 hr
  2. 2 hrs
  3. 6 hrs
  4. 8 hrs



23) One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes. Then the slower pipe alone will be able to fill the tank in:

  1. 81 min
  2. 108 min
  3. 144 min
  4. 192 min



24) A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is :

  1. 6 hrs
  2. 10 hrs
  3. 15 hrs
  4. 30 hrs



25) 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres ?

  1. 8
  2. 15
  3. 16
  4. 18



26) Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together, but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

  1. 10 min 20 sec
  2. 11 min 45 sec
  3. 12 min 30 sec
  4. 14 min 40 sec



27) Two pipes A and B can fill a tank in 15 hours and 20 hours respectively, while a third pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed. In how much time will the tank will be full ?

  1. 12 hrs
  2. 13 hrs
  3. 16 hrs
  4. 18 hrs



28) 20 women can do a work in 16 days, 16 men can complete the same work in 15 days. What is the ratio between the capacity of a man and a woman ?

  1. 3:4
  2. 4:3
  3. 5:3
  4. Data Inadequate



29) 12 monkeys can eat 12 bananas in 12 minutes. In how many minutes can 6 monkeys eat 6 bananas ?

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



30) 123 typists typed 984 papers in 1/15 hour. The number of papers typed per minute by an average typist is :

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