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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 473 · 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.Nisha and Dev together finish a job in 12 days. Nisha alone takes 15 days. How many days would Dev take alone?
  2. 2.Tara can finish a job in 15 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Aditya works twice as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  4. 4.Farhan can finish a job in 14 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya can finish a job in 2 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Farhan can finish a job in 24 days and Kabir in 16 days. Farhan works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  7. 7.Tara works twice as fast as Arjun. Together they finish a job in 11 days. How many days would Arjun take alone?
  8. 8.Farhan can finish a job in 7 days and Pooja in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Meera works twice as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  10. 10.Vivaan can finish a job in 8 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Farhan can finish a job in 28 days and Arjun in 16 days. Farhan works alone for 21 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Farhan and Isha together finish a job in 3 days. Farhan alone takes 4 days. How many days would Isha take alone?
  13. 13.Ishaan can finish a job in 6 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Farhan can finish a job in 7 days and Karan in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Meera and Kabir together finish a job in 5 days. Meera alone takes 6 days. How many days would Kabir take alone?
  16. 16.Karan works three times as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  17. 17.Priya can finish a job in 19 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. =
  18. 18.Farhan can finish a job in 4 days and Rohan in 8 days. Farhan works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  19. 19.Manav and Vivaan together finish a job in 6 days. Manav alone takes 7 days. How many days would Vivaan take alone?
  20. 20.Karan works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  21. 21.Arjun works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  22. 22.Saanvi can finish a job in 6 days and Arjun in 12 days. Saanvi works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  23. 23.Aditya can finish a job in 5 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Sneha can finish a job in 10 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Arjun can finish a job in 19 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Farhan can finish a job in 10 days and Aditya in 25 days. Farhan works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  27. 27.Rohan can finish a job in 8 days and Priya in 24 days. Rohan works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  28. 28.Farhan can finish a job in 7 days and Aarav in 21 days. Farhan works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  29. 29.Tara can finish a job in 5 days and Aarav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Arjun can finish a job in 18 days and Tara in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  32. 32.Rohan can finish a job in 14 days and Saanvi in 7 days. Rohan works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  33. 33.Rohan can finish a job in 20 days and Aditya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Zoya works twice as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  35. 35.Aditya works twice as fast as Farhan. Together they finish a job in 11 days. How many days would Farhan take alone?
  36. 36.Rohan works twice as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  37. 37.Sneha can finish a job in 9 days and Kabir in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Saanvi can finish a job in 18 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Pooja and Ananya together finish a job in 2 days. Pooja alone takes 4 days. How many days would Ananya take alone?
  40. 40.Aarav can finish a job in 12 days and Tara in 30 days. Aarav works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?

Answer key

  1. 60
  2. 165/26
  3. 12
  4. 70/19
  5. 6/5
  6. 6
  7. 33
  8. 72/119
  9. 33
  10. 40/13
  11. 4
  12. 12
  13. 17/22
  14. 54/77
  15. 30
  16. 8
  17. 285/34
  18. 6
  19. 42
  20. 36
  21. 16
  22. 6
  23. 10/3
  24. 10/3
  25. 48/95
  26. 10
  27. 18
  28. 15
  29. 95/24
  30. 9/5
  31. 8
  32. 6
  33. 15/2
  34. 27
  35. 33
  36. 30
  37. 72/17
  38. 2/9
  39. 4
  40. 15

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