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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 142 · 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.Tara and Rohan together finish a job in 4 days. Tara alone takes 8 days. How many days would Rohan take alone?
  2. 2.Priya can finish a job in 11 days and Karan in 22 days. Priya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  3. 3.Isha works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  4. 4.Manav can finish a job in 4 days and Sneha in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Ananya works twice as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  6. 6.Arjun can finish a job in 12 days and Diya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Meera works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  8. 8.Manav and Rohan together finish a job in 2 days. Manav alone takes 3 days. How many days would Rohan take alone?
  9. 9.Sneha and Tara together finish a job in 12 days. Sneha alone takes 20 days. How many days would Tara take alone?
  10. 10.Arjun can finish a job in 16 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Zoya can finish a job in 15 days and Aditya in 5 days. Zoya works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  12. 12.Rahul can finish a job in 8 days and Diya in 30 days. Rahul works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  13. 13.Rahul can finish a job in 6 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Tara can finish a job in 4 days and Manav in 22 days. Tara works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  15. 15.Kavya works twice as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  16. 16.Zoya and Sneha together finish a job in 4 days. Zoya alone takes 6 days. How many days would Sneha take alone?
  17. 17.Ishaan can finish a job in 11 days and Kavya in 22 days. Ishaan works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  18. 18.Aarav and Isha together finish a job in 5 days. Aarav alone takes 6 days. How many days would Isha take alone?
  19. 19.Nisha can finish a job in 6 days and Diya in 30 days. Nisha works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  20. 20.Tara can finish a job in 24 days and Aditya in 6 days. Tara works alone for 12 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  21. 21.Farhan works three times as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  22. 22.Tara can finish a job in 5 days and Diya in 10 days. Tara works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  23. 23.Aarav can finish a job in 12 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Diya can finish a job in 20 days and Sneha in 10 days. Diya works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  25. 25.Pooja can finish a job in 19 days and Farhan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Karan can finish a job in 17 days and Kavya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Farhan works twice as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  28. 28.Isha and Aditya together finish a job in 5 days. Isha alone takes 10 days. How many days would Aditya take alone?
  29. 29.Aditya can finish a job in 10 days and Ananya in 22 days. Aditya works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  30. 30.Nisha can finish a job in 15 days and Arjun in 5 days. Nisha works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Vivaan can finish a job in 8 days and Priya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Pooja can finish a job in 15 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Ishaan can finish a job in 9 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Manav and Karan together finish a job in 3 days. Manav alone takes 12 days. How many days would Karan take alone?
  35. 35.Rahul can finish a job in 5 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Rahul can finish a job in 4 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Farhan and Nisha together finish a job in 4 days. Farhan alone takes 5 days. How many days would Nisha take alone?
  38. 38.Kavya and Isha together finish a job in 2 days. Kavya alone takes 4 days. How many days would Isha take alone?
  39. 39.Pooja can finish a job in 2 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Saanvi and Meera together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Meera take alone?

Answer key

  1. 8
  2. 16
  3. 16
  4. 5/16
  5. 6
  6. 7/48
  7. 30
  8. 6
  9. 30
  10. 15/56
  11. 2
  12. 15
  13. 114/25
  14. 11
  15. 30
  16. 12
  17. 6
  18. 30
  19. 15
  20. 3
  21. 32
  22. 8
  23. 13/42
  24. 7
  25. 37/342
  26. 27/85
  27. 9
  28. 10
  29. 11
  30. 3
  31. 13/24
  32. 7/10
  33. 56/171
  34. 4
  35. 15/8
  36. 15/22
  37. 20
  38. 4
  39. 38/21
  40. 6

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