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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 306 · 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.Priya and Kabir together finish a job in 2 days. Priya alone takes 3 days. How many days would Kabir take alone?
  2. 2.Kavya can finish a job in 3 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Vivaan works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  4. 4.Pooja can finish a job in 17 days and Sneha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ananya can finish a job in 6 days and Meera in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Rohan and Saanvi together finish a job in 2 days. Rohan alone takes 3 days. How many days would Saanvi take alone?
  7. 7.Meera and Nisha together finish a job in 8 days. Meera alone takes 12 days. How many days would Nisha take alone?
  8. 8.Rahul and Kavya together finish a job in 4 days. Rahul alone takes 6 days. How many days would Kavya take alone?
  9. 9.Saanvi can finish a job in 10 days and Kabir in 30 days. Saanvi works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  10. 10.Farhan and Manav together finish a job in 2 days. Farhan alone takes 3 days. How many days would Manav take alone?
  11. 11.Kavya can finish a job in 6 days and Diya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Diya can finish a job in 19 days and Priya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Zoya works twice as fast as Arjun. Together they finish a job in 9 days. How many days would Arjun take alone?
  14. 14.Vivaan and Nisha together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Nisha take alone?
  15. 15.Arjun works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  16. 16.Vivaan and Priya together finish a job in 6 days. Vivaan alone takes 9 days. How many days would Priya take alone?
  17. 17.Farhan can finish a job in 14 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Priya can finish a job in 5 days and Pooja in 30 days. Priya works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  19. 19.Rahul can finish a job in 5 days and Meera in 30 days. Rahul works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  20. 20.Rahul can finish a job in 7 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Diya can finish a job in 8 days and Nisha in 4 days. Diya works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  22. 22.Meera and Zoya together finish a job in 8 days. Meera alone takes 12 days. How many days would Zoya take alone?
  23. 23.Sneha can finish a job in 13 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Isha can finish a job in 28 days and Karan in 21 days. Isha works alone for 16 days and then stops. Karan finishes the rest. How many days does Karan take?
  25. 25.Nisha and Sneha together finish a job in 2 days. Nisha alone takes 4 days. How many days would Sneha take alone?
  26. 26.Sneha can finish a job in 10 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Arjun and Farhan together finish a job in 4 days. Arjun alone takes 6 days. How many days would Farhan take alone?
  28. 28.Manav can finish a job in 15 days and Sneha in 5 days. Manav works alone for 9 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  29. 29.Isha can finish a job in 4 days and Farhan in 12 days. Isha works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  30. 30.Dev can finish a job in 30 days and Sneha in 5 days. Dev works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  31. 31.Nisha can finish a job in 8 days and Isha in 16 days. Nisha works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  32. 32.Karan can finish a job in 8 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ananya can finish a job in 5 days and Farhan in 10 days. Ananya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  34. 34.Nisha can finish a job in 18 days and Karan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Manav can finish a job in 5 days and Karan in 30 days. Manav works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  36. 36.Ananya can finish a job in 17 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Nisha works twice as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  38. 38.Aarav can finish a job in 18 days and Arjun in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Dev can finish a job in 10 days and Rohan in 30 days. Dev works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  40. 40.Karan and Diya together finish a job in 3 days. Karan alone takes 4 days. How many days would Diya take alone?

Answer key

  1. 6
  2. 6/5
  3. 33
  4. 340/37
  5. 25/57
  6. 6
  7. 24
  8. 12
  9. 15
  10. 6
  11. 23/51
  12. 34/285
  13. 27
  14. 6
  15. 27
  16. 18
  17. 28/9
  18. 6
  19. 12
  20. 56/15
  21. 3
  22. 24
  23. 39/16
  24. 9
  25. 4
  26. 7/45
  27. 12
  28. 2
  29. 9
  30. 3
  31. 2
  32. 40/7
  33. 4
  34. 90/11
  35. 18
  36. 31/238
  37. 6
  38. 7/45
  39. 27
  40. 12

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