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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 120 · 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.Isha and Sneha together finish a job in 16 days. Isha alone takes 24 days. How many days would Sneha take alone?
  2. 2.Priya can finish a job in 11 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ishaan can finish a job in 15 days and Aarav in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Diya works three times as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  5. 5.Aarav can finish a job in 10 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Diya can finish a job in 5 days and Priya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Sneha and Saanvi together finish a job in 18 days. Sneha alone takes 27 days. How many days would Saanvi take alone?
  8. 8.Sneha can finish a job in 8 days and Vivaan in 12 days. Sneha works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  9. 9.Farhan works twice as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  10. 10.Aarav can finish a job in 7 days and Sneha in 20 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 25 days and Saanvi in 15 days. Kabir works alone for 15 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  12. 12.Nisha and Ishaan together finish a job in 2 days. Nisha alone takes 4 days. How many days would Ishaan take alone?
  13. 13.Vivaan works three times as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  14. 14.Farhan can finish a job in 4 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Diya works three times as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  16. 16.Kabir can finish a job in 14 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Karan can finish a job in 8 days and Priya in 14 days. Karan works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  18. 18.Farhan works three times as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  19. 19.Aditya and Saanvi together finish a job in 3 days. Aditya alone takes 4 days. How many days would Saanvi take alone?
  20. 20.Karan works three times as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  21. 21.Saanvi can finish a job in 9 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Diya and Ananya together finish a job in 2 days. Diya alone takes 3 days. How many days would Ananya take alone?
  23. 23.Saanvi and Nisha together finish a job in 8 days. Saanvi alone takes 9 days. How many days would Nisha take alone?
  24. 24.Nisha can finish a job in 11 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Karan can finish a job in 7 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Manav works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  27. 27.Rohan can finish a job in 8 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Tara and Meera together finish a job in 5 days. Tara alone takes 10 days. How many days would Meera take alone?
  29. 29.Karan can finish a job in 10 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Diya works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  31. 31.Kabir and Sneha together finish a job in 16 days. Kabir alone takes 24 days. How many days would Sneha take alone?
  32. 32.Sneha can finish a job in 14 days and Ananya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  34. 34.Dev works twice as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  35. 35.Ananya works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  36. 36.Karan can finish a job in 17 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Ananya can finish a job in 7 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Karan can finish a job in 7 days and Pooja in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aarav can finish a job in 4 days and Kabir in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Diya works three times as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?

Answer key

  1. 48
  2. 55/16
  3. 3/10
  4. 40
  5. 20/7
  6. 9/20
  7. 54
  8. 3
  9. 15
  10. 140/27
  11. 6
  12. 4
  13. 28
  14. 12/5
  15. 48
  16. 19/70
  17. 7
  18. 24
  19. 12
  20. 8
  21. 45/14
  22. 6
  23. 72
  24. 88/19
  25. 21/10
  26. 12
  27. 8/3
  28. 10
  29. 60/11
  30. 15
  31. 48
  32. 154/25
  33. 21
  34. 18
  35. 12
  36. 31/119
  37. 69/112
  38. 105/22
  39. 12/7
  40. 32

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