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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 280 · 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.Isha can finish a job in 8 days and Aarav in 16 days. Isha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  2. 2.Vivaan works three times as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  3. 3.Priya can finish a job in 8 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Priya can finish a job in 24 days and Rohan in 6 days. Priya works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  5. 5.Aarav works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  6. 6.Rahul can finish a job in 7 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Arjun works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  8. 8.Meera can finish a job in 12 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Pooja works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  10. 10.Kavya can finish a job in 8 days and Ananya in 18 days. Kavya works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  11. 11.Farhan can finish a job in 22 days and Zoya in 16 days. Farhan works alone for 11 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  12. 12.Pooja works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  13. 13.Ananya works three times as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  14. 14.Rohan and Aditya together finish a job in 5 days. Rohan alone takes 6 days. How many days would Aditya take alone?
  15. 15.Kavya and Aarav together finish a job in 6 days. Kavya alone takes 7 days. How many days would Aarav take alone?
  16. 16.Rahul can finish a job in 20 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Zoya can finish a job in 4 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Farhan works twice as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  19. 19.Farhan can finish a job in 5 days and Manav in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Aarav can finish a job in 17 days and Isha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rohan can finish a job in 20 days and Priya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Diya works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  23. 23.Manav works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  24. 24.Aarav can finish a job in 8 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Manav and Aarav together finish a job in 15 days. Manav alone takes 24 days. How many days would Aarav take alone?
  26. 26.Saanvi works twice as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  27. 27.Karan can finish a job in 4 days and Ishaan in 18 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 8 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Rohan can finish a job in 2 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Aditya can finish a job in 6 days and Arjun in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Kabir can finish a job in 18 days and Kavya in 30 days. Kabir works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  32. 32.Tara can finish a job in 11 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Karan can finish a job in 8 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Meera can finish a job in 11 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Vivaan can finish a job in 6 days and Aarav in 20 days. Vivaan works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  36. 36.Pooja can finish a job in 7 days and Rohan in 21 days. Pooja works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  37. 37.Rahul can finish a job in 18 days and Rohan in 12 days. Rahul works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  38. 38.Meera can finish a job in 16 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Sneha can finish a job in 8 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Ishaan can finish a job in 30 days and Zoya in 28 days. Ishaan works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?

Answer key

  1. 12
  2. 24
  3. 57/88
  4. 4
  5. 18
  6. 40/91
  7. 48
  8. 3/10
  9. 16
  10. 9
  11. 8
  12. 36
  13. 32
  14. 30
  15. 42
  16. 180/29
  17. 28/11
  18. 27
  19. 21/40
  20. 204/29
  21. 51/140
  22. 48
  23. 16
  24. 16/3
  25. 40
  26. 9
  27. 36/11
  28. 7/12
  29. 10/7
  30. 23/51
  31. 25
  32. 198/29
  33. 45/56
  34. 88/19
  35. 10
  36. 6
  37. 10
  38. 48/19
  39. 9/40
  40. 14

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