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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 219 · 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.Zoya and Kabir together finish a job in 6 days. Zoya alone takes 9 days. How many days would Kabir take alone?
  2. 2.Isha can finish a job in 8 days and Aditya in 24 days. Isha works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  3. 3.Tara can finish a job in 16 days and Ishaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Zoya works twice as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
  5. 5.Ishaan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  6. 6.Pooja works three times as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
  7. 7.Sneha can finish a job in 20 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Sneha can finish a job in 20 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Dev and Aditya together finish a job in 9 days. Dev alone takes 10 days. How many days would Aditya take alone?
  10. 10.Kabir and Kavya together finish a job in 3 days. Kabir alone takes 6 days. How many days would Kavya take alone?
  11. 11.Aditya can finish a job in 20 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Ananya can finish a job in 3 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Nisha can finish a job in 18 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Zoya can finish a job in 20 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Dev and Rahul together finish a job in 2 days. Dev alone takes 3 days. How many days would Rahul take alone?
  16. 16.Rahul and Tara together finish a job in 6 days. Rahul alone takes 8 days. How many days would Tara take alone?
  17. 17.Karan can finish a job in 12 days and Sneha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Kabir and Diya together finish a job in 5 days. Kabir alone takes 6 days. How many days would Diya take alone?
  19. 19.Priya and Arjun together finish a job in 10 days. Priya alone takes 14 days. How many days would Arjun take alone?
  20. 20.Isha can finish a job in 5 days and Rohan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Dev can finish a job in 3 days and Kabir in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rahul can finish a job in 10 days and Ishaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kabir can finish a job in 17 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Kavya can finish a job in 9 days and Arjun in 18 days. Kavya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  25. 25.Saanvi can finish a job in 19 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Zoya works twice as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
  27. 27.Saanvi works twice as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
  28. 28.Farhan can finish a job in 12 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aditya can finish a job in 6 days and Karan in 8 days. Aditya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  30. 30.Nisha can finish a job in 12 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Nisha can finish a job in 8 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Kavya can finish a job in 6 days and Saanvi in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Dev can finish a job in 9 days and Arjun in 27 days. Dev works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  34. 34.Aditya can finish a job in 14 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Rohan can finish a job in 5 days and Ishaan in 10 days. Rohan works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  36. 36.Isha and Dev together finish a job in 4 days. Isha alone takes 5 days. How many days would Dev take alone?
  37. 37.Diya can finish a job in 12 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Kabir can finish a job in 3 days and Tara in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan can finish a job in 6 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Pooja and Aditya together finish a job in 6 days. Pooja alone takes 10 days. How many days would Aditya take alone?

Answer key

  1. 18
  2. 18
  3. 304/35
  4. 15
  5. 12
  6. 44
  7. 51/140
  8. 2/5
  9. 90
  10. 6
  11. 99/260
  12. 51/20
  13. 13/24
  14. 93/220
  15. 6
  16. 24
  17. 11/20
  18. 30
  19. 35
  20. 85/22
  21. 24/11
  22. 70/17
  23. 66/85
  24. 14
  25. 26/133
  26. 30
  27. 15
  28. 60/17
  29. 4
  30. 25/78
  31. 3/8
  32. 4
  33. 15
  34. 56/11
  35. 8
  36. 20
  37. 29/204
  38. 12/7
  39. 13/42
  40. 15

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