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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 82 · 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 10 days and Rohan in 26 days. Pooja works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  2. 2.Nisha can finish a job in 12 days and Vivaan in 24 days. Nisha works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  3. 3.Zoya can finish a job in 22 days and Priya in 11 days. Zoya works alone for 18 days and then stops. Priya finishes the rest. How many days does Priya take?
  4. 4.Priya can finish a job in 15 days and Isha in 30 days. Priya works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Saanvi works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  6. 6.Sneha can finish a job in 7 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Sneha can finish a job in 13 days and Nisha in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Manav can finish a job in 8 days and Arjun in 20 days. Manav works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  9. 9.Nisha works three times as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  10. 10.Karan and Aarav together finish a job in 3 days. Karan alone takes 4 days. How many days would Aarav take alone?
  11. 11.Priya and Saanvi together finish a job in 5 days. Priya alone takes 10 days. How many days would Saanvi take alone?
  12. 12.Kabir works three times as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  13. 13.Isha can finish a job in 10 days and Aditya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Pooja and Saanvi together finish a job in 10 days. Pooja alone takes 14 days. How many days would Saanvi take alone?
  15. 15.Kavya can finish a job in 3 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Ishaan and Dev together finish a job in 9 days. Ishaan alone takes 10 days. How many days would Dev take alone?
  17. 17.Rohan can finish a job in 6 days and Diya in 8 days. Rohan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  18. 18.Farhan can finish a job in 16 days and Ishaan in 20 days. Farhan works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  19. 19.Vivaan can finish a job in 3 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rohan and Aarav together finish a job in 3 days. Rohan alone takes 12 days. How many days would Aarav take alone?
  21. 21.Farhan works three times as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  22. 22.Farhan can finish a job in 3 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. =
  23. 23.Ananya can finish a job in 12 days and Diya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Zoya and Diya together finish a job in 6 days. Zoya alone takes 10 days. How many days would Diya take alone?
  25. 25.Ishaan works three times as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  26. 26.Diya can finish a job in 20 days and Rohan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Saanvi can finish a job in 14 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Arjun can finish a job in 7 days and Saanvi in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Arjun can finish a job in 5 days and Isha in 10 days. Arjun works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
  30. 30.Pooja 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. =
  31. 31.Ishaan works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  32. 32.Isha works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  33. 33.Pooja works twice as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  34. 34.Arjun can finish a job in 19 days and Manav in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Karan can finish a job in 15 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Saanvi can finish a job in 19 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Rahul works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  38. 38.Kavya can finish a job in 4 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aarav works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  40. 40.Vivaan can finish a job in 8 days and Pooja in 12 days. Vivaan works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?

Answer key

  1. 13
  2. 4
  3. 2
  4. 16
  5. 12
  6. 72/119
  7. 60/91
  8. 15
  9. 12
  10. 12
  11. 10
  12. 40
  13. 1/6
  14. 35
  15. 21/10
  16. 90
  17. 4
  18. 15
  19. 30/13
  20. 4
  21. 8
  22. 12/7
  23. 132/23
  24. 15
  25. 40
  26. 17/70
  27. 182/27
  28. 84/19
  29. 8
  30. 21/10
  31. 20
  32. 8
  33. 6
  34. 32/247
  35. 22/35
  36. 25/57
  37. 27
  38. 16/5
  39. 27
  40. 6

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