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Time and Work

Problems involving time, work rates, and wage calculations with multiple workers

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Questions

Question 1 Multiple Choice (Single Answer)

A piece of work, started with 5 working men, takes 20 days to be completed when one man is added per day. Find the same work will be finished in how many days if 12 men work regularly?

  1. 210 days
  2. 425/12 days
  3. 410 days
  4. 205/6 days
  5. 425 days
Question 2 Multiple Choice (Single Answer)

x and y, y and z and x and z do a work in 60, 45 and 30 hours, respectively. Then, in how many days can they complete the same work if they work simutaneously and start with x?

  1. 124/3 days
  2. 31/18 days
  3. 360/13
  4. 180/13
  5. 124/3 hours
Question 3 Multiple Choice (Single Answer)

If x can do a work in 50 days, y can do the same work in 75 days and z can do it in 100 days. If all work simultaneously and y starts the work, then find out in how many days the work will be finished?

  1. 300/13 days
  2. 415/6 days
  3. 207/3
  4. 276/4
  5. None of these
Question 4 Multiple Choice (Single Answer)

If x and y can do a piece of work in 12 day, y and z can do the same work in 15 days, and x and z can do that work in 20 days, then find the number of days required to finish the work if all (x y z) work simultaneously and the work starts with z.

  1. 12 days
  2. 51/2 hours
  3. 51/2 days
  4. 5 days
  5. 25 days
Question 5 Multiple Choice (Single Answer)

Three technicians a, b and c have a work to make a server. a and b can make a server in 12 hours, b and c can destroy that server in 15 hour, and c and a can make the server in 20 hours. In how many days will the server be ready to work if a works alone?

  1. 10 hours
  2. 5/12 days
  3. 5 hours
  4. 5/24 days
  5. None of these
Question 6 Multiple Choice (Single Answer)

Three technicians a, b and c have to make a server. a and b can make a server in 12 hour, b and c can destroy a server in 15 hours, and c and a can make a server in 20 hours. In how many days the server will be ready to work if all of them work together?

  1. 30 days
  2. 30 hours
  3. 5/4 days
  4. 15 hours
  5. 15 days
Question 7 Multiple Choice (Single Answer)

Three technicians a, b and c have to make a server. a and b can make a server in 12 hours, b and c can destroy that server in 15 hours, and c and a can make the server in 20 hours. In how many days will the server be ready to work, if the work starts with a and all work simultaneously?

  1. 5/12 days
  2. 10 hours
  3. 30 days
  4. 5/4 days
  5. 15/4 days
Question 8 Multiple Choice (Single Answer)

A and B take a tender to do a work worth Rs. 504. If A can work alone for 15 days and B can alone do the same work in 20 days, then find out who gets extra amount and how much extra if both work together.

  1. A will get Rs. 288 extra.
  2. B will get Rs. 216 extra.
  3. A will get Rs. 72 extra.
  4. B gets Rs. 72 extra.
  5. Both A and B have the same amount.
Question 9 Multiple Choice (Single Answer)

Three technicians a, b and c have a work to make a server. a and b can make a server in 12 hours, b and c can make that server in 15 hours, and c and a can make the server in 20 hours. In how many days will the server be ready to work if initial 5 hours of work is done by a and after that b and c will complete the work?

  1. 10 days
  2. 5 hours
  3. 5/24 days
  4. 5/12 days
  5. 35/48 days
Question 10 Multiple Choice (Single Answer)

A maintenance department has supply of commodities for 72 engineers for a period of 54 days. The supply of commodities gets reduced by 10% when 18 more engineers come to work. Find out the number of days for which the engineers will have to work.

  1. 43.2 days
  2. 48 days
  3. 108 days
  4. 43.02
  5. None of these
Question 11 Multiple Choice (Single Answer)

Three technicians take a tender to make a machine for Rs. 45000. If a works alone, the machine will be completed in 15 hours, if b works alone, then it takes 20 hours. If c works alone, then the time taken will be 25 hours. If a works for 5 hours alone, and after that, the work is completed by b and c working together without a, then find the amount a, b and c have with themselves each.

  1. a: Rs. 50000/3
    b: Rs. 15000
    c: Rs. 40000/3
  2. a: Rs. 40000/3
    b: Rs. 15000
    c: Rs. 50000/3
  3. c: Rs. 50000/3
    a: Rs. 15000
    b: Rs. 40000/3
  4. b: Rs. 50000/3
    c: Rs. 15000
    a: Rs. 40000/3
  5. b: Rs. 50000/3
    a: Rs. 15000
    c: Rs. 40000/3
Question 12 Multiple Choice (Single Answer)

A, B and C take a tender to make a wall with Rs. 6072. If all work alone simultaneously, they complete the work in 15, 20 and 12 days, respectively. But, they work together to complete the wall. Find the highest amount accepted and the person who gets it.

  1. A will get Rs. 2024.
  2. B will get Rs. 1518.
  3. C will get Rs. 2530.
  4. All of them have the same amount.
  5. C will get Rs. 280.
Question 13 Multiple Choice (Single Answer)

A man starts a work and one more man is added from the 2nd day regularly. If the work is finished in 30 days, then find how many days would be required to complete the same work with 1 man working regularly?

  1. 4960 day
  2. 461 days
  3. 240
  4. 4960 hours
  5. Cannot be determind
Question 14 Multiple Choice (Single Answer)

If 30 cats can eat 30 mice in 30 days, then how many mice can 15 cats eat in 15 days?

  1. 30
  2. 15
  3. 15/2
  4. 6
  5. Cannot be determined
Question 15 Multiple Choice (Single Answer)

x can make a wall in 25 months, y can make the same wall in 35 months and z can break that wall in 45 months. How many months will it take for them to completely construct the wall once when all three of them work together?

  1. 21.58 months approx
  2. 11.01 months approx
  3. 15.75 months
  4. 14.3 months
  5. 7.3 months

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