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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 240 · 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.Pooja can finish a job in 22 days and Arjun in 11 days. Pooja works alone for 18 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  2. 2.Vivaan can finish a job in 17 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Priya works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  4. 4.Arjun can finish a job in 7 days and Meera in 28 days. Arjun works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Diya can finish a job in 12 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  7. 7.Sneha can finish a job in 14 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Pooja can finish a job in 14 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Farhan and Arjun together finish a job in 8 days. Farhan alone takes 12 days. How many days would Arjun take alone?
  10. 10.Farhan can finish a job in 10 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kabir can finish a job in 7 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Aarav can finish a job in 19 days and Zoya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Karan and Zoya together finish a job in 4 days. Karan alone takes 6 days. How many days would Zoya take alone?
  14. 14.Kabir works twice as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  15. 15.Aditya can finish a job in 3 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Meera works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  17. 17.Saanvi works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  18. 18.Diya can finish a job in 5 days and Ananya in 10 days. Diya works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  19. 19.Aarav and Meera together finish a job in 3 days. Aarav alone takes 6 days. How many days would Meera take alone?
  20. 20.Isha works three times as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  21. 21.Aarav works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  22. 22.Kabir and Isha together finish a job in 9 days. Kabir alone takes 10 days. How many days would Isha take alone?
  23. 23.Tara and Ananya together finish a job in 2 days. Tara alone takes 3 days. How many days would Ananya take alone?
  24. 24.Aarav can finish a job in 6 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Karan and Isha together finish a job in 2 days. Karan alone takes 3 days. How many days would Isha take alone?
  26. 26.Meera can finish a job in 12 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Meera can finish a job in 3 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan can finish a job in 6 days and Diya in 15 days. Ishaan works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  29. 29.Tara can finish a job in 6 days and Meera in 30 days. Tara works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
  30. 30.Saanvi and Aarav together finish a job in 5 days. Saanvi alone takes 6 days. How many days would Aarav take alone?
  31. 31.Farhan and Diya together finish a job in 2 days. Farhan alone takes 4 days. How many days would Diya take alone?
  32. 32.Nisha and Farhan together finish a job in 2 days. Nisha alone takes 6 days. How many days would Farhan take alone?
  33. 33.Nisha and Rohan together finish a job in 6 days. Nisha alone takes 18 days. How many days would Rohan take alone?
  34. 34.Nisha and Saanvi together finish a job in 8 days. Nisha alone takes 12 days. How many days would Saanvi take alone?
  35. 35.Zoya can finish a job in 12 days and Pooja in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Pooja works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  37. 37.Isha and Farhan together finish a job in 2 days. Isha alone takes 3 days. How many days would Farhan take alone?
  38. 38.Rohan can finish a job in 6 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Diya can finish a job in 28 days and Rohan in 8 days. Diya works alone for 14 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  40. 40.Manav can finish a job in 6 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 2
  2. 204/29
  3. 36
  4. 20
  5. 60/11
  6. 32
  7. 31/119
  8. 140/17
  9. 24
  10. 20/7
  11. 91/20
  12. 247/32
  13. 12
  14. 18
  15. 21/10
  16. 16
  17. 9
  18. 2
  19. 6
  20. 40
  21. 21
  22. 90
  23. 6
  24. 3/2
  25. 6
  26. 204/29
  27. 60/23
  28. 5
  29. 5
  30. 30
  31. 4
  32. 3
  33. 9
  34. 24
  35. 84/13
  36. 16
  37. 6
  38. 24/7
  39. 4
  40. 30/11

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