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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 449 · 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.Dev can finish a job in 2 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kavya and Meera together finish a job in 4 days. Kavya alone takes 6 days. How many days would Meera take alone?
  3. 3.Karan works three times as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  4. 4.Priya and Diya together finish a job in 4 days. Priya alone takes 8 days. How many days would Diya take alone?
  5. 5.Isha works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  6. 6.Kabir can finish a job in 20 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Aditya can finish a job in 3 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Ishaan can finish a job in 19 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Isha can finish a job in 6 days and Dev in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Aditya and Manav together finish a job in 6 days. Aditya alone takes 8 days. How many days would Manav take alone?
  11. 11.Manav and Nisha together finish a job in 3 days. Manav alone takes 6 days. How many days would Nisha take alone?
  12. 12.Diya can finish a job in 7 days and Farhan in 14 days. Diya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  13. 13.Ishaan and Farhan together finish a job in 6 days. Ishaan alone takes 8 days. How many days would Farhan take alone?
  14. 14.Priya can finish a job in 18 days and Arjun in 6 days. Priya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  15. 15.Dev can finish a job in 9 days and Meera in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Kabir can finish a job in 17 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Saanvi can finish a job in 20 days and Diya in 30 days. Saanvi works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  18. 18.Saanvi can finish a job in 10 days and Karan in 20 days. Saanvi works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  19. 19.Vivaan and Ishaan together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Ishaan take alone?
  20. 20.Nisha can finish a job in 8 days and Dev in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ishaan works three times as fast as Farhan. Together they finish a job in 9 days. How many days would Farhan take alone?
  22. 22.Arjun and Diya together finish a job in 4 days. Arjun alone takes 5 days. How many days would Diya take alone?
  23. 23.Tara can finish a job in 30 days and Saanvi in 15 days. Tara works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  24. 24.Kabir works three times as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  25. 25.Zoya can finish a job in 4 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Aarav works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  27. 27.Kabir works three times as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  28. 28.Aditya works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  29. 29.Farhan can finish a job in 27 days and Ananya in 6 days. Farhan works alone for 18 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  30. 30.Aarav can finish a job in 9 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Kavya can finish a job in 12 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Kabir and Vivaan together finish a job in 12 days. Kabir alone takes 28 days. How many days would Vivaan take alone?
  33. 33.Kavya can finish a job in 7 days and Diya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aditya can finish a job in 3 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Zoya and Arjun together finish a job in 2 days. Zoya alone takes 6 days. How many days would Arjun take alone?
  36. 36.Priya can finish a job in 9 days and Sneha in 18 days. Priya works alone for 7 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  37. 37.Rahul can finish a job in 11 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Farhan works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  39. 39.Priya can finish a job in 4 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Tara and Ishaan together finish a job in 2 days. Tara alone takes 4 days. How many days would Ishaan take alone?

Answer key

  1. 20/11
  2. 12
  3. 40
  4. 8
  5. 30
  6. 15/2
  7. 12/5
  8. 114/25
  9. 1/2
  10. 24
  11. 6
  12. 8
  13. 24
  14. 5
  15. 20/99
  16. 31/238
  17. 24
  18. 16
  19. 4
  20. 88/19
  21. 36
  22. 20
  23. 14
  24. 12
  25. 20/7
  26. 8
  27. 28
  28. 21
  29. 2
  30. 36/13
  31. 29/68
  32. 21
  33. 133/26
  34. 60/23
  35. 3
  36. 4
  37. 33/14
  38. 36
  39. 52/17
  40. 4

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