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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 394 · 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.Kavya and Saanvi together finish a job in 6 days. Kavya alone takes 9 days. How many days would Saanvi take alone?
  2. 2.Diya works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  3. 3.Zoya can finish a job in 11 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Arjun and Aditya together finish a job in 8 days. Arjun alone takes 24 days. How many days would Aditya take alone?
  5. 5.Arjun works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  6. 6.Aditya and Dev together finish a job in 4 days. Aditya alone takes 5 days. How many days would Dev take alone?
  7. 7.Aditya can finish a job in 3 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Pooja and Manav together finish a job in 5 days. Pooja alone takes 6 days. How many days would Manav take alone?
  9. 9.Meera can finish a job in 10 days and Aarav in 20 days. Meera works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  10. 10.Rohan can finish a job in 6 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Aditya can finish a job in 19 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Zoya and Ananya together finish a job in 3 days. Zoya alone takes 6 days. How many days would Ananya take alone?
  13. 13.Priya works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  14. 14.Diya works three times as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  15. 15.Ananya can finish a job in 14 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Kavya can finish a job in 10 days and Meera in 30 days. Kavya works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  17. 17.Aditya and Farhan together finish a job in 3 days. Aditya alone takes 6 days. How many days would Farhan take alone?
  18. 18.Saanvi can finish a job in 14 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. =
  19. 19.Rahul can finish a job in 12 days and Ananya in 27 days. Rahul works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  20. 20.Manav works three times as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  21. 21.Ishaan can finish a job in 6 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Aditya can finish a job in 8 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Rahul works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  24. 24.Dev can finish a job in 5 days and Zoya in 15 days. Dev works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  25. 25.Saanvi works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  26. 26.Zoya can finish a job in 4 days and Dev in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Ishaan and Nisha together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Nisha take alone?
  28. 28.Dev can finish a job in 4 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Saanvi works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  30. 30.Arjun can finish a job in 4 days and Isha in 12 days. Arjun works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  31. 31.Isha and Meera together finish a job in 6 days. Isha alone takes 7 days. How many days would Meera take alone?
  32. 32.Vivaan works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  33. 33.Arjun can finish a job in 6 days and Diya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Dev can finish a job in 10 days and Kavya in 5 days. Dev works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Rohan can finish a job in 19 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Manav and Arjun together finish a job in 10 days. Manav alone takes 12 days. How many days would Arjun take alone?
  37. 37.Ananya can finish a job in 9 days and Arjun in 30 days. Ananya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  38. 38.Ishaan can finish a job in 7 days and Dev in 28 days. Ishaan works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  39. 39.Isha works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  40. 40.Rohan can finish a job in 20 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 18
  2. 36
  3. 44/15
  4. 12
  5. 15
  6. 20
  7. 48/19
  8. 30
  9. 8
  10. 4
  11. 266/33
  12. 6
  13. 21
  14. 48
  15. 45/112
  16. 9
  17. 6
  18. 266/33
  19. 9
  20. 20
  21. 78/19
  22. 11/28
  23. 12
  24. 6
  25. 36
  26. 3/10
  27. 12
  28. 3
  29. 28
  30. 3
  31. 42
  32. 27
  33. 13/42
  34. 1
  35. 33/266
  36. 60
  37. 20
  38. 20
  39. 9
  40. 180/29

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