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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 374 · 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.Karan works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  2. 2.Manav can finish a job in 6 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Saanvi can finish a job in 16 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. =
  4. 4.Rahul and Isha together finish a job in 6 days. Rahul alone takes 7 days. How many days would Isha take alone?
  5. 5.Saanvi can finish a job in 6 days and Aditya in 24 days. Saanvi works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  6. 6.Sneha and Zoya together finish a job in 2 days. Sneha alone takes 4 days. How many days would Zoya take alone?
  7. 7.Pooja and Nisha together finish a job in 3 days. Pooja alone takes 4 days. How many days would Nisha take alone?
  8. 8.Rahul can finish a job in 15 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Sneha and Karan together finish a job in 7 days. Sneha alone takes 14 days. How many days would Karan take alone?
  10. 10.Nisha works twice as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  11. 11.Isha works three times as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  12. 12.Arjun can finish a job in 6 days and Meera in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Rahul works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  14. 14.Zoya works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  15. 15.Nisha can finish a job in 24 days and Manav in 4 days. Nisha works alone for 18 days and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Manav can finish a job in 20 days and Isha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Aarav can finish a job in 9 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Isha can finish a job in 15 days and Diya in 6 days. Isha works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  19. 19.Manav works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  20. 20.Isha can finish a job in 9 days and Diya in 6 days. Isha works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  21. 21.Rohan works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  22. 22.Tara can finish a job in 10 days and Dev in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Kabir and Diya together finish a job in 12 days. Kabir alone takes 24 days. How many days would Diya take alone?
  24. 24.Aarav can finish a job in 7 days and Priya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Diya can finish a job in 10 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Rohan can finish a job in 6 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Rahul can finish a job in 14 days and Rohan in 21 days. Rahul works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  28. 28.Rahul and Isha together finish a job in 2 days. Rahul alone takes 3 days. How many days would Isha take alone?
  29. 29.Diya works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  30. 30.Pooja can finish a job in 16 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Zoya and Tara together finish a job in 21 days. Zoya alone takes 30 days. How many days would Tara take alone?
  32. 32.Aarav can finish a job in 11 days and Ishaan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Dev can finish a job in 21 days and Rohan in 7 days. Dev works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  34. 34.Farhan can finish a job in 11 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Karan can finish a job in 18 days and Zoya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Diya can finish a job in 30 days and Rahul in 20 days. Diya works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  37. 37.Ishaan can finish a job in 20 days and Kavya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Tara can finish a job in 18 days and Isha in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Kabir works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  40. 40.Meera works twice as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?

Answer key

  1. 8
  2. 9/2
  3. 48/19
  4. 42
  5. 4
  6. 4
  7. 12
  8. 31/120
  9. 14
  10. 9
  11. 24
  12. 5/12
  13. 21
  14. 8
  15. 1
  16. 7/20
  17. 6
  18. 4
  19. 8
  20. 2
  21. 8
  22. 51/70
  23. 24
  24. 20/91
  25. 11/20
  26. 30/11
  27. 18
  28. 6
  29. 12
  30. 304/35
  31. 70
  32. 40/99
  33. 2
  34. 33/14
  35. 29/198
  36. 18
  37. 40/7
  38. 17/72
  39. 33
  40. 12

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