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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 156 · 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 Ishaan together finish a job in 10 days. Priya alone takes 30 days. How many days would Ishaan take alone?
  2. 2.Tara and Rohan together finish a job in 2 days. Tara alone takes 3 days. How many days would Rohan take alone?
  3. 3.Karan works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  4. 4.Saanvi can finish a job in 19 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. =
  5. 5.Nisha can finish a job in 15 days and Isha in 18 days. Nisha works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  6. 6.Priya works three times as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  7. 7.Farhan can finish a job in 5 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Ishaan can finish a job in 16 days and Priya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Rohan can finish a job in 19 days and Priya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Isha and Meera together finish a job in 5 days. Isha alone takes 6 days. How many days would Meera take alone?
  11. 11.Rohan works three times as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  12. 12.Meera works twice as fast as Vivaan. Together they finish a job in 11 days. How many days would Vivaan take alone?
  13. 13.Vivaan and Aditya together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Aditya take alone?
  14. 14.Kavya can finish a job in 8 days and Karan in 12 days. Kavya works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  15. 15.Isha can finish a job in 14 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Arjun can finish a job in 12 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ananya can finish a job in 17 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Meera can finish a job in 10 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Rohan can finish a job in 9 days and Meera in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Vivaan can finish a job in 3 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Saanvi can finish a job in 7 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Manav can finish a job in 24 days and Rahul in 20 days. Manav works alone for 18 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Saanvi can finish a job in 4 days and Sneha in 8 days. Saanvi works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  24. 24.Manav and Ishaan together finish a job in 2 days. Manav alone takes 3 days. How many days would Ishaan take alone?
  25. 25.Rahul can finish a job in 4 days and Rohan in 30 days. Rahul works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  26. 26.Arjun and Rohan together finish a job in 2 days. Arjun alone takes 6 days. How many days would Rohan take alone?
  27. 27.Sneha works three times as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  28. 28.Ananya can finish a job in 5 days and Arjun in 20 days. Ananya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  29. 29.Manav works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  30. 30.Saanvi works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  31. 31.Arjun can finish a job in 3 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav and Kabir together finish a job in 2 days. Aarav alone takes 4 days. How many days would Kabir take alone?
  33. 33.Arjun can finish a job in 2 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Dev and Isha together finish a job in 3 days. Dev alone takes 6 days. How many days would Isha take alone?
  35. 35.Pooja and Arjun together finish a job in 3 days. Pooja alone takes 4 days. How many days would Arjun take alone?
  36. 36.Ishaan can finish a job in 27 days and Karan in 12 days. Ishaan works alone for 9 days and then stops. Karan finishes the rest. How many days does Karan take?
  37. 37.Diya can finish a job in 14 days and Rohan in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Tara works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  39. 39.Isha can finish a job in 2 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aarav and Karan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Karan take alone?

Answer key

  1. 15
  2. 6
  3. 24
  4. 95/24
  5. 12
  6. 28
  7. 15/4
  8. 17/72
  9. 26/133
  10. 30
  11. 12
  12. 33
  13. 12
  14. 3
  15. 99/266
  16. 12/7
  17. 26/51
  18. 35/6
  19. 1/3
  20. 5/2
  21. 14/9
  22. 5
  23. 4
  24. 6
  25. 15
  26. 3
  27. 28
  28. 4
  29. 21
  30. 12
  31. 48/19
  32. 4
  33. 7/4
  34. 6
  35. 12
  36. 8
  37. 23/42
  38. 33
  39. 6/5
  40. 6

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