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Time and Work Worksheet

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

Answer key

  1. 15
  2. 3
  3. 5/12
  4. 15/8
  5. 12
  6. 3
  7. 12
  8. 48
  9. 11/48
  10. 27
  11. 3/10
  12. 23/130
  13. 6
  14. 16
  15. 24
  16. 70/19
  17. 11/30
  18. 144/25
  19. 20
  20. 36
  21. 136/25
  22. 3
  23. 80
  24. 6
  25. 208/29
  26. 17/60
  27. 35/12
  28. 6
  29. 238/31
  30. 154/25
  31. 6
  32. 12
  33. 60/13
  34. 60/19
  35. 3
  36. 10
  37. 48
  38. 4
  39. 21
  40. 8

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