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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 203 · 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.Ishaan can finish a job in 10 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Dev can finish a job in 4 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Meera can finish a job in 6 days and Diya in 30 days. Meera works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  4. 4.Ishaan can finish a job in 26 days and Pooja in 13 days. Ishaan works alone for 24 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  5. 5.Aditya can finish a job in 19 days and Sneha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Meera and Karan together finish a job in 5 days. Meera alone takes 10 days. How many days would Karan take alone?
  7. 7.Kavya can finish a job in 9 days and Dev in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Tara works twice as fast as Sneha. Together they finish a job in 7 days. How many days would Sneha take alone?
  9. 9.Ishaan works three times as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
  10. 10.Manav can finish a job in 12 days and Zoya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Karan can finish a job in 21 days and Diya in 7 days. Karan works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Kavya and Pooja together finish a job in 3 days. Kavya alone takes 12 days. How many days would Pooja take alone?
  13. 13.Farhan and Kavya together finish a job in 3 days. Farhan alone takes 4 days. How many days would Kavya take alone?
  14. 14.Kabir and Aarav together finish a job in 4 days. Kabir alone takes 5 days. How many days would Aarav take alone?
  15. 15.Rahul can finish a job in 20 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Ishaan works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  17. 17.Saanvi and Kabir together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Kabir take alone?
  18. 18.Kavya can finish a job in 4 days and Diya in 20 days. Kavya works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  19. 19.Pooja and Zoya together finish a job in 4 days. Pooja alone takes 5 days. How many days would Zoya take alone?
  20. 20.Aditya and Arjun together finish a job in 4 days. Aditya alone takes 5 days. How many days would Arjun take alone?
  21. 21.Arjun can finish a job in 6 days and Saanvi in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Isha works three times as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  23. 23.Zoya and Isha together finish a job in 7 days. Zoya alone takes 8 days. How many days would Isha take alone?
  24. 24.Isha and Karan together finish a job in 7 days. Isha alone takes 14 days. How many days would Karan take alone?
  25. 25.Dev works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  26. 26.Pooja can finish a job in 8 days and Kavya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Arjun can finish a job in 9 days and Nisha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Sneha and Manav together finish a job in 16 days. Sneha alone takes 24 days. How many days would Manav take alone?
  29. 29.Saanvi can finish a job in 8 days and Aarav in 24 days. Saanvi works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  30. 30.Sneha can finish a job in 5 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Meera works three times as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  32. 32.Meera works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  33. 33.Kabir can finish a job in 15 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Pooja and Rohan together finish a job in 6 days. Pooja alone takes 18 days. How many days would Rohan take alone?
  35. 35.Rohan can finish a job in 12 days and Saanvi in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Farhan can finish a job in 8 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Kabir and Pooja together finish a job in 2 days. Kabir alone takes 3 days. How many days would Pooja take alone?
  38. 38.Dev can finish a job in 13 days and Aditya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  40. 40.Arjun can finish a job in 12 days and Vivaan in 4 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 10/3
  2. 7/20
  3. 10
  4. 1
  5. 247/32
  6. 10
  7. 25/48
  8. 21
  9. 36
  10. 15/2
  11. 5
  12. 4
  13. 12
  14. 20
  15. 60/13
  16. 8
  17. 6
  18. 5
  19. 20
  20. 20
  21. 3/4
  22. 24
  23. 56
  24. 14
  25. 28
  26. 40/7
  27. 16/63
  28. 48
  29. 6
  30. 30/11
  31. 20
  32. 12
  33. 19/30
  34. 9
  35. 12/7
  36. 45/56
  37. 6
  38. 156/25
  39. 36
  40. 2/3

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