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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 484 · 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.Arjun works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  2. 2.Priya can finish a job in 4 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Pooja works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  4. 4.Priya and Manav together finish a job in 6 days. Priya alone takes 8 days. How many days would Manav take alone?
  5. 5.Nisha and Sneha together finish a job in 5 days. Nisha alone takes 30 days. How many days would Sneha take alone?
  6. 6.Saanvi works twice as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  7. 7.Ishaan can finish a job in 18 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Diya can finish a job in 9 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. =
  9. 9.Nisha can finish a job in 15 days and Sneha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Meera and Arjun together finish a job in 3 days. Meera alone takes 12 days. How many days would Arjun take alone?
  11. 11.Meera works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  12. 12.Diya can finish a job in 6 days and Nisha in 18 days. Diya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  13. 13.Zoya works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  14. 14.Ishaan can finish a job in 5 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Saanvi can finish a job in 7 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Pooja can finish a job in 14 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Arjun can finish a job in 11 days and Meera in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Arjun can finish a job in 4 days and Nisha in 8 days. Arjun works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  19. 19.Pooja can finish a job in 5 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Farhan can finish a job in 5 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Dev can finish a job in 12 days and Isha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Ishaan can finish a job in 9 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Diya works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  24. 24.Zoya can finish a job in 6 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Manav can finish a job in 6 days and Ananya in 26 days. Manav works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  26. 26.Kabir and Saanvi together finish a job in 3 days. Kabir alone takes 12 days. How many days would Saanvi take alone?
  27. 27.Karan works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  28. 28.Isha works twice as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  29. 29.Isha can finish a job in 16 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Rahul can finish a job in 4 days and Aarav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Sneha can finish a job in 10 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Kabir can finish a job in 20 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Pooja can finish a job in 18 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Aditya can finish a job in 6 days and Dev in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Karan works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  36. 36.Meera and Aditya together finish a job in 4 days. Meera alone takes 6 days. How many days would Aditya take alone?
  37. 37.Diya works three times as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  38. 38.Ishaan can finish a job in 14 days and Arjun in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Zoya works twice as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  40. 40.Kabir can finish a job in 12 days and Rohan in 24 days. Kabir works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?

Answer key

  1. 12
  2. 3/8
  3. 27
  4. 24
  5. 6
  6. 9
  7. 18/7
  8. 117/22
  9. 20/3
  10. 4
  11. 24
  12. 9
  13. 33
  14. 45/14
  15. 133/26
  16. 210/29
  17. 60/209
  18. 2
  19. 20/9
  20. 4/5
  21. 5/8
  22. 9/4
  23. 33
  24. 2
  25. 13
  26. 4
  27. 36
  28. 18
  29. 15/16
  30. 10/3
  31. 9/20
  32. 10/3
  33. 11/30
  34. 1/2
  35. 48
  36. 12
  37. 40
  38. 126/23
  39. 36
  40. 20

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