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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 277 · 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.Rohan can finish a job in 26 days and Zoya in 13 days. Rohan works alone for 14 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  2. 2.Aditya can finish a job in 5 days and Tara in 30 days. Aditya works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  3. 3.Tara and Kabir together finish a job in 2 days. Tara alone takes 4 days. How many days would Kabir take alone?
  4. 4.Meera can finish a job in 4 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Karan can finish a job in 11 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Vivaan can finish a job in 20 days and Karan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Priya can finish a job in 19 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Aarav can finish a job in 14 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Tara can finish a job in 30 days and Meera in 15 days. Tara works alone for 22 days and then stops. Meera finishes the rest. How many days does Meera take?
  10. 10.Dev and Meera together finish a job in 4 days. Dev alone takes 6 days. How many days would Meera take alone?
  11. 11.Arjun can finish a job in 16 days and Dev in 24 days. Arjun works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  12. 12.Vivaan can finish a job in 17 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Karan works twice as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  14. 14.Pooja and Aditya together finish a job in 6 days. Pooja alone takes 18 days. How many days would Aditya take alone?
  15. 15.Karan can finish a job in 12 days and Vivaan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Manav can finish a job in 18 days and Rohan in 27 days. Manav works alone for 14 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  17. 17.Rahul and Karan together finish a job in 6 days. Rahul alone takes 12 days. How many days would Karan take alone?
  18. 18.Diya can finish a job in 5 days and Arjun in 20 days. Diya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  19. 19.Priya works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  20. 20.Vivaan can finish a job in 13 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Pooja and Diya together finish a job in 4 days. Pooja alone takes 12 days. How many days would Diya take alone?
  22. 22.Nisha can finish a job in 8 days and Diya in 24 days. Nisha works alone for 7 days and then stops. Diya finishes the rest. How many days does Diya take?
  23. 23.Aarav works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  24. 24.Rohan can finish a job in 2 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Rahul can finish a job in 4 days and Vivaan in 8 days. Rahul works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  26. 26.Dev can finish a job in 10 days and Manav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Ananya can finish a job in 9 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Manav can finish a job in 10 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. =
  29. 29.Priya can finish a job in 20 days and Diya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Ananya and Pooja together finish a job in 2 days. Ananya alone takes 3 days. How many days would Pooja take alone?
  31. 31.Zoya and Saanvi together finish a job in 2 days. Zoya alone takes 3 days. How many days would Saanvi take alone?
  32. 32.Tara can finish a job in 15 days and Karan in 20 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 14 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Meera can finish a job in 6 days and Farhan in 16 days. Meera works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  35. 35.Vivaan can finish a job in 7 days and Isha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Ananya and Kabir together finish a job in 4 days. Ananya alone takes 8 days. How many days would Kabir take alone?
  37. 37.Manav can finish a job in 7 days and Meera in 28 days. Manav works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  38. 38.Karan can finish a job in 17 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Aarav can finish a job in 11 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Arjun works twice as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?

Answer key

  1. 6
  2. 24
  3. 4
  4. 8/3
  5. 25/154
  6. 20/11
  7. 78/133
  8. 112/15
  9. 4
  10. 12
  11. 12
  12. 272/33
  13. 36
  14. 9
  15. 5/12
  16. 6
  17. 12
  18. 8
  19. 30
  20. 44/117
  21. 6
  22. 3
  23. 44
  24. 6/5
  25. 2
  26. 8/15
  27. 13/18
  28. 30/13
  29. 9/10
  30. 6
  31. 6
  32. 60/7
  33. 56/11
  34. 8
  35. 17/35
  36. 8
  37. 16
  38. 63/68
  39. 52/165
  40. 36

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