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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 84 · 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.Ishaan can finish a job in 12 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Ananya works three times as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  3. 3.Nisha can finish a job in 15 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Arjun can finish a job in 14 days and Nisha in 28 days. Arjun works alone for 12 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  5. 5.Diya can finish a job in 5 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Priya can finish a job in 11 days and Pooja in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Aarav can finish a job in 6 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Vivaan can finish a job in 15 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Sneha can finish a job in 14 days and Ananya in 16 days. Sneha works alone for 7 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  10. 10.Meera can finish a job in 12 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Manav can finish a job in 18 days and Arjun in 6 days. Manav works alone for 12 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Nisha can finish a job in 18 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 8 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Meera can finish a job in 10 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Diya can finish a job in 16 days and Meera in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Rohan and Manav together finish a job in 2 days. Rohan alone takes 4 days. How many days would Manav take alone?
  17. 17.Dev can finish a job in 3 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera can finish a job in 4 days and Ananya in 6 days. Meera works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  19. 19.Tara can finish a job in 14 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Dev works three times as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
  21. 21.Rahul can finish a job in 2 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Priya works twice as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  23. 23.Priya and Ishaan together finish a job in 2 days. Priya alone takes 3 days. How many days would Ishaan take alone?
  24. 24.Ananya works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  25. 25.Ananya can finish a job in 18 days and Isha in 9 days. Ananya works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  26. 26.Sneha can finish a job in 4 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Tara can finish a job in 24 days and Farhan in 20 days. Tara works alone for 18 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  28. 28.Tara and Manav together finish a job in 7 days. Tara alone takes 8 days. How many days would Manav take alone?
  29. 29.Isha can finish a job in 9 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Rohan works twice as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
  31. 31.Kavya can finish a job in 20 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Farhan can finish a job in 2 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Pooja works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  34. 34.Kabir can finish a job in 15 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Vivaan and Priya together finish a job in 6 days. Vivaan alone takes 15 days. How many days would Priya take alone?
  36. 36.Diya can finish a job in 8 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Karan can finish a job in 18 days and Nisha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Kabir works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  39. 39.Ishaan can finish a job in 5 days and Isha in 30 days. Ishaan works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  40. 40.Tara works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?

Answer key

  1. 31/76
  2. 40
  3. 29/70
  4. 4
  5. 48/55
  6. 77/18
  7. 60/13
  8. 29/70
  9. 8
  10. 7/16
  11. 2
  12. 6
  13. 7/8
  14. 51/70
  15. 48/7
  16. 4
  17. 60/23
  18. 3
  19. 27/91
  20. 36
  21. 14/9
  22. 21
  23. 6
  24. 12
  25. 6
  26. 9/10
  27. 5
  28. 56
  29. 5/18
  30. 9
  31. 17/70
  32. 30/17
  33. 33
  34. 105/22
  35. 10
  36. 56/15
  37. 29/198
  38. 33
  39. 12
  40. 24

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