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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 447 · 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 Diya together finish a job in 8 days. Tara alone takes 9 days. How many days would Diya take alone?
  2. 2.Kabir can finish a job in 9 days and Vivaan in 18 days. Kabir works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  3. 3.Kabir and Arjun together finish a job in 2 days. Kabir alone takes 3 days. How many days would Arjun take alone?
  4. 4.Dev can finish a job in 14 days and Meera in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Pooja and Ishaan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Ishaan take alone?
  6. 6.Kavya can finish a job in 4 days and Arjun in 28 days. Kavya works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  7. 7.Vivaan can finish a job in 6 days and Dev in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Nisha can finish a job in 6 days and Vivaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Farhan can finish a job in 14 days and Arjun in 28 days. Farhan works alone for 13 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  10. 10.Tara can finish a job in 7 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Aarav can finish a job in 28 days and Rohan in 14 days. Aarav works alone for 16 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  12. 12.Saanvi can finish a job in 14 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Farhan can finish a job in 2 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Priya can finish a job in 5 days and Manav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Manav can finish a job in 6 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Nisha can finish a job in 11 days and Isha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Diya and Kavya together finish a job in 4 days. Diya alone takes 5 days. How many days would Kavya take alone?
  18. 18.Priya can finish a job in 8 days and Diya in 20 days. Priya works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  19. 19.Ananya and Rohan together finish a job in 2 days. Ananya alone takes 3 days. How many days would Rohan take alone?
  20. 20.Zoya can finish a job in 17 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Aarav can finish a job in 4 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Diya and Priya together finish a job in 2 days. Diya alone takes 4 days. How many days would Priya take alone?
  23. 23.Meera can finish a job in 6 days and Pooja in 24 days. Meera works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  24. 24.Farhan can finish a job in 13 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. =
  25. 25.Arjun and Priya together finish a job in 2 days. Arjun alone takes 3 days. How many days would Priya take alone?
  26. 26.Manav can finish a job in 5 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Farhan works twice as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  28. 28.Arjun can finish a job in 19 days and Tara in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Aarav can finish a job in 3 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Pooja can finish a job in 17 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Saanvi can finish a job in 8 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Diya can finish a job in 9 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ishaan and Rahul together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Rahul take alone?
  34. 34.Aarav can finish a job in 13 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi can finish a job in 11 days and Nisha in 22 days. Saanvi works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  36. 36.Saanvi can finish a job in 5 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Kavya and Aarav together finish a job in 3 days. Kavya alone takes 6 days. How many days would Aarav take alone?
  38. 38.Zoya can finish a job in 12 days and Priya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Meera can finish a job in 7 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Dev works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?

Answer key

  1. 72
  2. 14
  3. 6
  4. 5/21
  5. 6
  6. 21
  7. 17/33
  8. 102/23
  9. 2
  10. 24/35
  11. 6
  12. 23/42
  13. 8/5
  14. 13/40
  15. 21/5
  16. 99/20
  17. 20
  18. 10
  19. 6
  20. 306/35
  21. 76/23
  22. 4
  23. 16
  24. 260/33
  25. 6
  26. 30/11
  27. 9
  28. 33/133
  29. 9/4
  30. 23/34
  31. 13/20
  32. 18/11
  33. 12
  34. 78/19
  35. 10
  36. 63/80
  37. 6
  38. 7/18
  39. 9/14
  40. 40

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