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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 314 · 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.Kabir and Diya together finish a job in 12 days. Kabir alone takes 14 days. How many days would Diya take alone?
  2. 2.Rahul can finish a job in 5 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rahul and Rohan together finish a job in 4 days. Rahul alone takes 6 days. How many days would Rohan take alone?
  4. 4.Saanvi works twice as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  5. 5.Vivaan and Aarav together finish a job in 9 days. Vivaan alone takes 10 days. How many days would Aarav take alone?
  6. 6.Rohan can finish a job in 30 days and Diya in 10 days. Rohan works alone for 12 days and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Arjun can finish a job in 18 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Nisha and Zoya together finish a job in 4 days. Nisha alone takes 5 days. How many days would Zoya take alone?
  9. 9.Dev and Zoya together finish a job in 2 days. Dev alone takes 6 days. How many days would Zoya take alone?
  10. 10.Diya can finish a job in 16 days and Vivaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
  12. 12.Karan works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  13. 13.Rahul can finish a job in 4 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Diya can finish a job in 5 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Arjun can finish a job in 15 days and Ishaan in 30 days. Arjun works alone for 13 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  16. 16.Arjun and Nisha together finish a job in 2 days. Arjun alone takes 3 days. How many days would Nisha take alone?
  17. 17.Priya works three times as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  18. 18.Meera can finish a job in 10 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Diya and Sneha together finish a job in 4 days. Diya alone takes 5 days. How many days would Sneha take alone?
  20. 20.Saanvi works twice as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
  21. 21.Karan can finish a job in 6 days and Manav in 24 days. Karan works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
  22. 22.Ishaan can finish a job in 14 days and Priya in 21 days. Ishaan works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  23. 23.Tara can finish a job in 15 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Manav can finish a job in 5 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Dev and Kavya together finish a job in 2 days. Dev alone takes 6 days. How many days would Kavya take alone?
  26. 26.Isha can finish a job in 16 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Rahul works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  28. 28.Saanvi and Ishaan together finish a job in 8 days. Saanvi alone takes 10 days. How many days would Ishaan take alone?
  29. 29.Sneha works three times as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  30. 30.Ishaan works three times as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  31. 31.Vivaan can finish a job in 16 days and Saanvi in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Arjun and Meera together finish a job in 3 days. Arjun alone takes 4 days. How many days would Meera take alone?
  33. 33.Sneha can finish a job in 16 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Ishaan works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  35. 35.Nisha can finish a job in 19 days and Dev in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Isha and Priya together finish a job in 7 days. Isha alone takes 8 days. How many days would Priya take alone?
  37. 37.Ananya and Rohan together finish a job in 2 days. Ananya alone takes 3 days. How many days would Rohan take alone?
  38. 38.Ananya can finish a job in 19 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Rohan and Sneha together finish a job in 12 days. Rohan alone takes 24 days. How many days would Sneha take alone?
  40. 40.Vivaan can finish a job in 20 days and Zoya in 8 days. Vivaan works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?

Answer key

  1. 84
  2. 95/24
  3. 12
  4. 36
  5. 90
  6. 6
  7. 37/171
  8. 20
  9. 3
  10. 304/35
  11. 36
  12. 9
  13. 52/17
  14. 30/11
  15. 4
  16. 6
  17. 12
  18. 6
  19. 20
  20. 9
  21. 4
  22. 18
  23. 90/11
  24. 48/95
  25. 3
  26. 144/17
  27. 32
  28. 40
  29. 12
  30. 20
  31. 15/16
  32. 12
  33. 48/11
  34. 32
  35. 37/114
  36. 56
  37. 6
  38. 78/133
  39. 24
  40. 2

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