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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 85 · 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.Ishaan can finish a job in 6 days and Diya in 12 days. Ishaan works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  2. 2.Ishaan can finish a job in 5 days and Zoya in 20 days. Ishaan works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  3. 3.Arjun works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  4. 4.Rahul can finish a job in 11 days and Tara in 19 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 12 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Sneha can finish a job in 3 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya and Ananya together finish a job in 5 days. Diya alone takes 6 days. How many days would Ananya take alone?
  8. 8.Rahul works three times as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  9. 9.Zoya and Nisha together finish a job in 4 days. Zoya alone takes 6 days. How many days would Nisha take alone?
  10. 10.Priya can finish a job in 7 days and Karan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Rahul can finish a job in 14 days and Priya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Arjun works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  13. 13.Aarav can finish a job in 10 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Vivaan and Meera together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Meera take alone?
  15. 15.Manav can finish a job in 4 days and Karan in 8 days. Manav works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  16. 16.Kabir can finish a job in 14 days and Isha in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Nisha can finish a job in 5 days and Aarav in 25 days. Nisha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  18. 18.Arjun can finish a job in 9 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Rohan can finish a job in 17 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Nisha can finish a job in 16 days and Isha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Vivaan can finish a job in 5 days and Aarav in 30 days. Vivaan works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  22. 22.Priya works three times as fast as Diya. Together they finish a job in 8 days. How many days would Diya take alone?
  23. 23.Pooja can finish a job in 7 days and Aarav in 28 days. Pooja works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  24. 24.Zoya and Rahul together finish a job in 12 days. Zoya alone takes 18 days. How many days would Rahul take alone?
  25. 25.Diya can finish a job in 17 days and Tara in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Nisha can finish a job in 3 days and Dev in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Aditya and Saanvi together finish a job in 8 days. Aditya alone takes 10 days. How many days would Saanvi take alone?
  28. 28.Tara can finish a job in 9 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Rahul works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  30. 30.Manav can finish a job in 8 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Vivaan can finish a job in 16 days and Pooja in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rohan works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  33. 33.Nisha can finish a job in 6 days and Sneha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kavya can finish a job in 5 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kabir can finish a job in 19 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Tara and Kavya together finish a job in 3 days. Tara alone takes 6 days. How many days would Kavya take alone?
  37. 37.Ananya and Farhan together finish a job in 2 days. Ananya alone takes 4 days. How many days would Farhan take alone?
  38. 38.Ishaan can finish a job in 8 days and Arjun in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Rahul and Kavya together finish a job in 3 days. Rahul alone takes 4 days. How many days would Kavya take alone?
  40. 40.Arjun and Meera together finish a job in 4 days. Arjun alone takes 6 days. How many days would Meera take alone?

Answer key

  1. 10
  2. 16
  3. 24
  4. 209/30
  5. 1/4
  6. 42/17
  7. 30
  8. 40
  9. 12
  10. 77/18
  11. 11/28
  12. 48
  13. 20/3
  14. 6
  15. 6
  16. 15/56
  17. 15
  18. 17/24
  19. 23/51
  20. 9/80
  21. 6
  22. 32
  23. 24
  24. 36
  25. 27/85
  26. 42/17
  27. 40
  28. 45/8
  29. 12
  30. 72/17
  31. 112/15
  32. 18
  33. 48/11
  34. 40/13
  35. 57/22
  36. 6
  37. 4
  38. 23/120
  39. 12
  40. 12

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