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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 108 · 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 and Meera together finish a job in 6 days. Sneha alone takes 8 days. How many days would Meera take alone?
  2. 2.Ananya and Kabir together finish a job in 12 days. Ananya alone takes 16 days. How many days would Kabir take alone?
  3. 3.Diya and Rohan together finish a job in 2 days. Diya alone takes 3 days. How many days would Rohan take alone?
  4. 4.Diya can finish a job in 3 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Aarav can finish a job in 14 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Sneha can finish a job in 6 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Nisha can finish a job in 9 days and Ananya in 18 days. Nisha works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  8. 8.Diya can finish a job in 15 days and Tara in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Dev can finish a job in 4 days and Ananya in 22 days. Dev works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  10. 10.Kabir can finish a job in 11 days and Pooja in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ananya can finish a job in 10 days and Rahul in 25 days. Ananya works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  12. 12.Kabir can finish a job in 15 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Arjun works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  14. 14.Saanvi can finish a job in 6 days and Kavya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Kabir can finish a job in 16 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Sneha can finish a job in 3 days and Zoya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Pooja and Diya together finish a job in 2 days. Pooja alone takes 3 days. How many days would Diya take alone?
  18. 18.Priya works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  19. 19.Aarav works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  20. 20.Aarav can finish a job in 8 days and Vivaan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Kabir can finish a job in 8 days and Zoya in 12 days. Kabir works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  22. 22.Ananya and Pooja together finish a job in 7 days. Ananya alone takes 8 days. How many days would Pooja take alone?
  23. 23.Pooja can finish a job in 3 days and Ananya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ishaan and Arjun together finish a job in 4 days. Ishaan alone takes 8 days. How many days would Arjun take alone?
  25. 25.Nisha can finish a job in 9 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ishaan can finish a job in 4 days and Kavya in 20 days. Ishaan works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  27. 27.Rahul can finish a job in 8 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Zoya works three times as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  29. 29.Meera works twice as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  30. 30.Zoya can finish a job in 20 days and Pooja in 28 days. Zoya works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  31. 31.Diya can finish a job in 16 days and Dev in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav can finish a job in 19 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Kavya can finish a job in 8 days and Pooja in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Isha can finish a job in 8 days and Kavya in 4 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 8 days and Nisha in 4 days. Vivaan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  36. 36.Arjun can finish a job in 11 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Ananya works twice as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  38. 38.Farhan can finish a job in 5 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kabir works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  40. 40.Kavya can finish a job in 22 days and Diya in 4 days. Kavya works alone for 11 days and then stops. Diya finishes the rest. How many days does Diya take?

Answer key

  1. 24
  2. 48
  3. 6
  4. 24/11
  5. 9/14
  6. 11/30
  7. 14
  8. 30/7
  9. 11
  10. 165/26
  11. 10
  12. 7/15
  13. 15
  14. 66/17
  15. 48/19
  16. 2
  17. 6
  18. 12
  19. 12
  20. 3/16
  21. 9
  22. 56
  23. 24/11
  24. 8
  25. 126/23
  26. 15
  27. 136/25
  28. 24
  29. 21
  30. 21
  31. 304/35
  32. 209/30
  33. 21/104
  34. 8/3
  35. 1
  36. 15/22
  37. 21
  38. 10/3
  39. 21
  40. 2

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