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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 172 · 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 can finish a job in 8 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rahul works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  3. 3.Ananya works twice as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  4. 4.Zoya can finish a job in 9 days and Karan in 21 days. Zoya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  5. 5.Rohan and Vivaan together finish a job in 3 days. Rohan alone takes 4 days. How many days would Vivaan take alone?
  6. 6.Sneha can finish a job in 9 days and Aditya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Kabir and Zoya together finish a job in 2 days. Kabir alone takes 4 days. How many days would Zoya take alone?
  8. 8.Vivaan can finish a job in 3 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Zoya can finish a job in 15 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Zoya can finish a job in 16 days and Tara in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Pooja can finish a job in 11 days and Arjun in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Saanvi can finish a job in 14 days and Tara in 28 days. Saanvi works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  13. 13.Isha and Kavya together finish a job in 2 days. Isha alone takes 3 days. How many days would Kavya take alone?
  14. 14.Dev can finish a job in 2 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Aarav can finish a job in 10 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aditya and Dev together finish a job in 2 days. Aditya alone takes 3 days. How many days would Dev take alone?
  17. 17.Karan and Rohan together finish a job in 2 days. Karan alone takes 3 days. How many days would Rohan take alone?
  18. 18.Rahul can finish a job in 19 days and Isha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Kabir works three times as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  20. 20.Kabir and Vivaan together finish a job in 4 days. Kabir alone takes 8 days. How many days would Vivaan take alone?
  21. 21.Manav works three times as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  22. 22.Zoya works twice as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  23. 23.Priya and Diya together finish a job in 6 days. Priya alone takes 8 days. How many days would Diya take alone?
  24. 24.Isha can finish a job in 16 days and Kabir in 8 days. Isha works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  25. 25.Kavya can finish a job in 16 days and Pooja in 18 days. Kavya works alone for 8 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  26. 26.Kavya can finish a job in 18 days and Diya in 9 days. Kavya works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  27. 27.Aditya can finish a job in 14 days and Kabir in 28 days. Aditya works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  28. 28.Arjun can finish a job in 8 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Pooja can finish a job in 8 days and Saanvi in 16 days. Pooja works alone for 7 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  30. 30.Kavya works twice as fast as Farhan. Together they finish a job in 9 days. How many days would Farhan take alone?
  31. 31.Kavya works twice as fast as Arjun. Together they finish a job in 11 days. How many days would Arjun take alone?
  32. 32.Dev and Priya together finish a job in 4 days. Dev alone takes 8 days. How many days would Priya take alone?
  33. 33.Ishaan can finish a job in 14 days and Nisha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Isha works three times as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  35. 35.Rohan can finish a job in 7 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. =
  36. 36.Karan can finish a job in 17 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Nisha can finish a job in 14 days and Karan in 24 days. Nisha works alone for 7 days and then stops. Karan finishes the rest. How many days does Karan take?
  38. 38.Saanvi and Aditya together finish a job in 6 days. Saanvi alone takes 12 days. How many days would Aditya take alone?
  39. 39.Diya can finish a job in 4 days and Kavya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Diya can finish a job in 5 days and Sneha in 20 days. Diya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?

Answer key

  1. 8/5
  2. 24
  3. 24
  4. 14
  5. 12
  6. 25/72
  7. 4
  8. 60/23
  9. 11/45
  10. 7/16
  11. 32/55
  12. 12
  13. 6
  14. 5/3
  15. 4/5
  16. 6
  17. 6
  18. 32/247
  19. 36
  20. 8
  21. 12
  22. 18
  23. 24
  24. 6
  25. 9
  26. 8
  27. 14
  28. 15/56
  29. 2
  30. 27
  31. 33
  32. 8
  33. 84/13
  34. 32
  35. 133/26
  36. 255/32
  37. 12
  38. 12
  39. 27/28
  40. 12

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