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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 485 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Zoya works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  2. 2.Dev can finish a job in 13 days and Pooja in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Tara can finish a job in 7 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Aarav can finish a job in 24 days and Pooja in 4 days. Aarav works alone for 12 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  5. 5.Kabir can finish a job in 6 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Isha works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  7. 7.Manav and Aditya together finish a job in 6 days. Manav alone takes 8 days. How many days would Aditya take alone?
  8. 8.Diya can finish a job in 5 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Manav can finish a job in 6 days and Karan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Isha can finish a job in 4 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha works three times as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  12. 12.Diya can finish a job in 15 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Diya and Pooja together finish a job in 12 days. Diya alone takes 18 days. How many days would Pooja take alone?
  14. 14.Manav and Zoya together finish a job in 18 days. Manav alone takes 24 days. How many days would Zoya take alone?
  15. 15.Vivaan and Kabir together finish a job in 3 days. Vivaan alone takes 6 days. How many days would Kabir take alone?
  16. 16.Nisha can finish a job in 16 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rohan can finish a job in 4 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Manav and Nisha together finish a job in 12 days. Manav alone takes 15 days. How many days would Nisha take alone?
  19. 19.Meera can finish a job in 10 days and Kabir in 22 days. Meera works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  20. 20.Farhan works twice as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  21. 21.Manav can finish a job in 18 days and Vivaan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Manav can finish a job in 19 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Dev and Diya together finish a job in 12 days. Dev alone takes 24 days. How many days would Diya take alone?
  24. 24.Vivaan can finish a job in 5 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kabir can finish a job in 9 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Manav can finish a job in 11 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Farhan can finish a job in 9 days and Saanvi in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Sneha can finish a job in 11 days and Saanvi in 22 days. Sneha works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  29. 29.Priya works twice as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  30. 30.Zoya and Aditya together finish a job in 8 days. Zoya alone takes 12 days. How many days would Aditya take alone?
  31. 31.Meera works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  32. 32.Manav can finish a job in 17 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Ananya can finish a job in 16 days and Kabir in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Ananya can finish a job in 16 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Tara works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  36. 36.Saanvi can finish a job in 20 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Pooja and Kabir together finish a job in 2 days. Pooja alone takes 3 days. How many days would Kabir take alone?
  38. 38.Nisha can finish a job in 10 days and Farhan in 24 days. Nisha works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  39. 39.Saanvi and Dev together finish a job in 6 days. Saanvi alone takes 10 days. How many days would Dev take alone?
  40. 40.Vivaan works three times as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?

Answer key

  1. 30
  2. 27/91
  3. 23/56
  4. 2
  5. 42/13
  6. 12
  7. 24
  8. 10/3
  9. 66/17
  10. 12/5
  11. 12
  12. 15/4
  13. 36
  14. 72
  15. 6
  16. 48/11
  17. 15/16
  18. 60
  19. 11
  20. 21
  21. 19/90
  22. 247/32
  23. 24
  24. 85/22
  25. 25/48
  26. 31/220
  27. 13/18
  28. 18
  29. 30
  30. 24
  31. 21
  32. 37/170
  33. 7/48
  34. 80/9
  35. 20
  36. 80/9
  37. 6
  38. 12
  39. 15
  40. 20

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