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Time and Work Worksheet

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

Answer key

  1. 88/19
  2. 24
  3. 12
  4. 12
  5. 10
  6. 52/17
  7. 130/23
  8. 16
  9. 10
  10. 33
  11. 30
  12. 102/23
  13. 5
  14. 42/17
  15. 36
  16. 31/117
  17. 17/72
  18. 30/7
  19. 12
  20. 24
  21. 15
  22. 4
  23. 6
  24. 4
  25. 20
  26. 1
  27. 28
  28. 5/8
  29. 6/5
  30. 45/14
  31. 18
  32. 6
  33. 25/72
  34. 17/20
  35. 69/76
  36. 27/85
  37. 72/17
  38. 36
  39. 28
  40. 20

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