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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 274 · 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.Sneha can finish a job in 5 days and Isha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Priya can finish a job in 17 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Karan can finish a job in 16 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Manav can finish a job in 21 days and Ananya in 7 days. Manav works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  5. 5.Ishaan works twice as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
  6. 6.Aarav can finish a job in 7 days and Kavya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Dev and Saanvi together finish a job in 8 days. Dev alone takes 10 days. How many days would Saanvi take alone?
  8. 8.Aditya can finish a job in 15 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Vivaan can finish a job in 4 days and Priya in 8 days. Vivaan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  10. 10.Ananya and Karan together finish a job in 4 days. Ananya alone takes 20 days. How many days would Karan take alone?
  11. 11.Nisha can finish a job in 13 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Arjun can finish a job in 11 days and Nisha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Tara can finish a job in 6 days and Priya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Rahul and Diya together finish a job in 5 days. Rahul alone takes 6 days. How many days would Diya take alone?
  15. 15.Diya can finish a job in 6 days and Ishaan in 24 days. Diya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  16. 16.Ananya and Aditya together finish a job in 2 days. Ananya alone takes 4 days. How many days would Aditya take alone?
  17. 17.Pooja and Diya together finish a job in 4 days. Pooja alone takes 6 days. How many days would Diya take alone?
  18. 18.Aarav works three times as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  19. 19.Diya can finish a job in 4 days and Pooja in 20 days. Diya works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  20. 20.Nisha can finish a job in 20 days and Vivaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Aarav works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
  22. 22.Zoya works twice as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  23. 23.Meera can finish a job in 12 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. =
  24. 24.Saanvi and Diya together finish a job in 3 days. Saanvi alone takes 6 days. How many days would Diya take alone?
  25. 25.Aditya and Kavya together finish a job in 6 days. Aditya alone takes 7 days. How many days would Kavya take alone?
  26. 26.Diya works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  27. 27.Meera works twice as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  28. 28.Zoya can finish a job in 15 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Aditya can finish a job in 15 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Sneha and Manav together finish a job in 5 days. Sneha alone takes 10 days. How many days would Manav take alone?
  31. 31.Arjun can finish a job in 20 days and Saanvi in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Tara can finish a job in 7 days and Sneha in 21 days. Tara works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  33. 33.Arjun can finish a job in 9 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Farhan can finish a job in 18 days and Kabir in 27 days. Farhan works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  35. 35.Pooja and Diya together finish a job in 3 days. Pooja alone takes 4 days. How many days would Diya take alone?
  36. 36.Tara can finish a job in 2 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir can finish a job in 18 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Ananya can finish a job in 8 days and Arjun in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Isha can finish a job in 13 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Rohan and Karan together finish a job in 3 days. Rohan alone takes 6 days. How many days would Karan take alone?

Answer key

  1. 14/15
  2. 34/19
  3. 80/13
  4. 6
  5. 18
  6. 51/70
  7. 40
  8. 6
  9. 2
  10. 5
  11. 21/52
  12. 220/31
  13. 18/5
  14. 30
  15. 16
  16. 4
  17. 12
  18. 20
  19. 5
  20. 140/17
  21. 36
  22. 24
  23. 60/17
  24. 6
  25. 42
  26. 36
  27. 9
  28. 34/95
  29. 28/65
  30. 10
  31. 2/15
  32. 3
  33. 18/5
  34. 18
  35. 12
  36. 10/7
  37. 31/78
  38. 9/20
  39. 20/91
  40. 6

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