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Time and Work Worksheet

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

Answer key

  1. 24/11
  2. 4
  3. 21/10
  4. 60
  5. 187/28
  6. 4
  7. 24
  8. 45/112
  9. 23/51
  10. 66/85
  11. 17/72
  12. 4
  13. 60
  14. 3/10
  15. 19/60
  16. 220/31
  17. 16
  18. 3/10
  19. 16
  20. 25
  21. 4
  22. 304/35
  23. 31/80
  24. 56/171
  25. 80/21
  26. 16/21
  27. 6
  28. 12
  29. 44
  30. 6
  31. 4
  32. 80/21
  33. 12
  34. 3
  35. 42
  36. 12
  37. 30
  38. 18
  39. 9/10
  40. 40

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