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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 292 · 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.Isha and Diya together finish a job in 2 days. Isha alone takes 6 days. How many days would Diya take alone?
  2. 2.Diya and Arjun together finish a job in 2 days. Diya alone takes 3 days. How many days would Arjun take alone?
  3. 3.Aarav can finish a job in 18 days and Karan in 24 days. Aarav works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  4. 4.Aarav can finish a job in 6 days and Dev in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Isha works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
  6. 6.Pooja can finish a job in 17 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Farhan can finish a job in 20 days and Sneha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Isha can finish a job in 15 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan and Tara together finish a job in 7 days. Ishaan alone takes 8 days. How many days would Tara take alone?
  10. 10.Saanvi can finish a job in 11 days and Farhan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Vivaan can finish a job in 9 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. =
  12. 12.Ananya can finish a job in 12 days and Tara in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Dev can finish a job in 7 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Rohan and Meera together finish a job in 2 days. Rohan alone takes 3 days. How many days would Meera take alone?
  15. 15.Vivaan can finish a job in 20 days and Priya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Manav and Dev together finish a job in 4 days. Manav alone takes 5 days. How many days would Dev take alone?
  17. 17.Vivaan works three times as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  18. 18.Ananya can finish a job in 17 days and Diya in 19 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 5 days and Vivaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Meera works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  21. 21.Rahul and Aditya together finish a job in 2 days. Rahul alone takes 3 days. How many days would Aditya take alone?
  22. 22.Kavya can finish a job in 16 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Karan can finish a job in 5 days and Priya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Manav can finish a job in 6 days and Kavya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Vivaan can finish a job in 19 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Aarav works three times as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
  27. 27.Dev and Tara together finish a job in 8 days. Dev alone takes 9 days. How many days would Tara take alone?
  28. 28.Ananya and Priya together finish a job in 2 days. Ananya alone takes 4 days. How many days would Priya take alone?
  29. 29.Tara works three times as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  30. 30.Ananya works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  31. 31.Rahul can finish a job in 7 days and Karan in 28 days. Rahul works alone for 5 days and then stops. Karan finishes the rest. How many days does Karan take?
  32. 32.Dev 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. =
  33. 33.Aditya can finish a job in 5 days and Dev in 30 days. Aditya works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  34. 34.Diya can finish a job in 5 days and Kavya in 20 days. Diya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Meera can finish a job in 6 days and Priya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Arjun works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  37. 37.Nisha can finish a job in 20 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Pooja can finish a job in 2 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aditya can finish a job in 10 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Tara can finish a job in 18 days and Dev in 16 days. Tara works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?

Answer key

  1. 3
  2. 6
  3. 20
  4. 17/33
  5. 30
  6. 51/20
  7. 19/60
  8. 31/80
  9. 56
  10. 33/14
  11. 72/17
  12. 7/36
  13. 26/133
  14. 6
  15. 31/110
  16. 20
  17. 44
  18. 323/36
  19. 55/16
  20. 36
  21. 6
  22. 112/23
  23. 36/65
  24. 48/11
  25. 228/31
  26. 44
  27. 72
  28. 4
  29. 8
  30. 28
  31. 8
  32. 2
  33. 12
  34. 12
  35. 13/60
  36. 20
  37. 260/33
  38. 5/3
  39. 20/3
  40. 8

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