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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 299 · 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.Kabir and Zoya together finish a job in 3 days. Kabir alone takes 4 days. How many days would Zoya take alone?
  2. 2.Vivaan and Priya together finish a job in 3 days. Vivaan alone takes 6 days. How many days would Priya take alone?
  3. 3.Rahul can finish a job in 7 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aarav can finish a job in 20 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Isha works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  6. 6.Manav can finish a job in 6 days and Isha in 21 days. Manav works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  7. 7.Sneha can finish a job in 8 days and Rahul in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Isha can finish a job in 8 days and Arjun in 4 days. Isha works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  9. 9.Vivaan works three times as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  10. 10.Aarav can finish a job in 7 days and Manav in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Dev can finish a job in 12 days and Rohan in 10 days. Dev works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  12. 12.Pooja and Karan together finish a job in 12 days. Pooja alone takes 20 days. How many days would Karan take alone?
  13. 13.Rahul can finish a job in 19 days and Tara in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Aditya can finish a job in 15 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Rahul and Zoya together finish a job in 5 days. Rahul alone takes 10 days. How many days would Zoya take alone?
  16. 16.Meera works twice as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  17. 17.Rahul works twice as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  18. 18.Meera works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  19. 19.Arjun can finish a job in 24 days and Priya in 20 days. Arjun works alone for 18 days and then stops. Priya finishes the rest. How many days does Priya take?
  20. 20.Ananya and Zoya together finish a job in 3 days. Ananya alone takes 4 days. How many days would Zoya take alone?
  21. 21.Kabir and Manav together finish a job in 2 days. Kabir alone takes 3 days. How many days would Manav take alone?
  22. 22.Pooja can finish a job in 9 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan can finish a job in 18 days and Tara in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Arjun can finish a job in 16 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Isha can finish a job in 4 days and Diya in 28 days. Isha works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  26. 26.Zoya can finish a job in 8 days and Tara in 4 days. Zoya works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
  27. 27.Farhan can finish a job in 7 days and Vivaan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Diya can finish a job in 13 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Saanvi and Kavya together finish a job in 7 days. Saanvi alone takes 8 days. How many days would Kavya take alone?
  30. 30.Rahul can finish a job in 11 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Aarav and Kavya together finish a job in 2 days. Aarav alone takes 3 days. How many days would Kavya take alone?
  32. 32.Ananya can finish a job in 8 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Diya works three times as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  34. 34.Dev works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  35. 35.Ishaan can finish a job in 5 days and Ananya in 15 days. Ishaan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  36. 36.Ishaan can finish a job in 6 days and Aditya in 30 days. Ishaan works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  37. 37.Diya can finish a job in 8 days and Kabir in 4 days. Diya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  38. 38.Saanvi and Farhan together finish a job in 15 days. Saanvi alone takes 30 days. How many days would Farhan take alone?
  39. 39.Dev and Karan together finish a job in 5 days. Dev alone takes 10 days. How many days would Karan take alone?
  40. 40.Sneha can finish a job in 5 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 12
  2. 6
  3. 56/15
  4. 20/3
  5. 36
  6. 14
  7. 11/56
  8. 2
  9. 12
  10. 13/14
  11. 5
  12. 30
  13. 25/57
  14. 1/6
  15. 10
  16. 12
  17. 30
  18. 36
  19. 5
  20. 12
  21. 6
  22. 153/26
  23. 37/342
  24. 17/72
  25. 7
  26. 1
  27. 9/14
  28. 39/16
  29. 56
  30. 187/28
  31. 6
  32. 13/36
  33. 36
  34. 15
  35. 6
  36. 20
  37. 3
  38. 30
  39. 10
  40. 15/8

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