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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 135 · 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.Arjun and Zoya together finish a job in 2 days. Arjun alone takes 3 days. How many days would Zoya take alone?
  2. 2.Diya can finish a job in 4 days and Dev in 20 days. Diya works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Dev and Tara together finish a job in 2 days. Dev alone takes 3 days. How many days would Tara take alone?
  4. 4.Pooja can finish a job in 6 days and Meera in 9 days. Pooja works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Dev and Pooja together finish a job in 16 days. Dev alone takes 24 days. How many days would Pooja take alone?
  6. 6.Tara works twice as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  7. 7.Pooja and Isha together finish a job in 3 days. Pooja alone takes 12 days. How many days would Isha take alone?
  8. 8.Ishaan can finish a job in 15 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Meera can finish a job in 10 days and Diya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Pooja can finish a job in 10 days and Ishaan in 30 days. Pooja works alone for 9 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  11. 11.Arjun can finish a job in 4 days and Ananya in 8 days. Arjun works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  12. 12.Meera and Ananya together finish a job in 5 days. Meera alone takes 10 days. How many days would Ananya take alone?
  13. 13.Isha can finish a job in 4 days and Ishaan in 14 days. Isha works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  14. 14.Manav can finish a job in 12 days and Farhan in 6 days. Manav works alone for 6 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  15. 15.Sneha can finish a job in 7 days and Ishaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Arjun can finish a job in 4 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Arjun can finish a job in 16 days and Aarav in 20 days. Arjun works alone for 12 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  18. 18.Aarav can finish a job in 15 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Aditya can finish a job in 19 days and Meera in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Diya can finish a job in 5 days and Vivaan in 25 days. Diya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  21. 21.Dev works three times as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  22. 22.Diya can finish a job in 8 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Kabir works three times as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  24. 24.Karan can finish a job in 13 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Nisha works three times as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  26. 26.Manav and Arjun together finish a job in 12 days. Manav alone takes 15 days. How many days would Arjun take alone?
  27. 27.Sneha can finish a job in 4 days and Manav in 28 days. Sneha works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  28. 28.Zoya and Diya together finish a job in 6 days. Zoya alone takes 8 days. How many days would Diya take alone?
  29. 29.Rohan can finish a job in 8 days and Zoya in 16 days. Rohan works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  30. 30.Arjun can finish a job in 4 days and Sneha in 8 days. Arjun works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  31. 31.Sneha can finish a job in 7 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Kabir works twice as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  33. 33.Ishaan and Priya together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Priya take alone?
  34. 34.Zoya and Priya together finish a job in 4 days. Zoya alone takes 8 days. How many days would Priya take alone?
  35. 35.Nisha can finish a job in 15 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Saanvi can finish a job in 15 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ishaan works three times as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
  38. 38.Vivaan can finish a job in 13 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. =
  39. 39.Nisha can finish a job in 9 days and Zoya in 15 days. Nisha works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  40. 40.Pooja can finish a job in 7 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 6
  2. 10
  3. 6
  4. 3
  5. 48
  6. 15
  7. 4
  8. 240/31
  9. 1/2
  10. 3
  11. 2
  12. 10
  13. 7
  14. 3
  15. 112/23
  16. 19/30
  17. 5
  18. 30/17
  19. 69/76
  20. 5
  21. 8
  22. 17/24
  23. 32
  24. 21/104
  25. 48
  26. 60
  27. 21
  28. 24
  29. 8
  30. 2
  31. 77/18
  32. 12
  33. 4
  34. 8
  35. 23/60
  36. 30/17
  37. 32
  38. 39/16
  39. 10
  40. 21/10

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