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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 162 · 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.Karan can finish a job in 14 days and Sneha in 28 days. Karan works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  2. 2.Pooja works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  3. 3.Meera can finish a job in 20 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Manav can finish a job in 16 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Vivaan can finish a job in 5 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Aditya can finish a job in 2 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Tara works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  8. 8.Priya can finish a job in 8 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. =
  9. 9.Saanvi can finish a job in 10 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Meera can finish a job in 28 days and Arjun in 14 days. Meera works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  11. 11.Kabir can finish a job in 17 days and Priya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Karan can finish a job in 12 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Saanvi works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  14. 14.Farhan works three times as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  15. 15.Zoya can finish a job in 10 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Manav can finish a job in 7 days and Nisha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Arjun can finish a job in 6 days and Kavya in 24 days. Arjun works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  18. 18.Arjun can finish a job in 30 days and Zoya in 8 days. Arjun works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  19. 19.Dev and Rohan together finish a job in 2 days. Dev alone takes 3 days. How many days would Rohan take alone?
  20. 20.Manav and Aarav together finish a job in 3 days. Manav alone takes 6 days. How many days would Aarav take alone?
  21. 21.Diya can finish a job in 14 days and Arjun in 28 days. Diya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  22. 22.Aarav works three times as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  23. 23.Pooja and Kabir together finish a job in 3 days. Pooja alone takes 6 days. How many days would Kabir take alone?
  24. 24.Zoya and Aarav together finish a job in 6 days. Zoya alone takes 18 days. How many days would Aarav take alone?
  25. 25.Pooja works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  26. 26.Arjun can finish a job in 4 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Rohan can finish a job in 28 days and Nisha in 21 days. Rohan works alone for 8 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  28. 28.Arjun can finish a job in 8 days and Aditya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Meera can finish a job in 15 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Karan can finish a job in 4 days and Aditya in 8 days. Karan works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  31. 31.Priya can finish a job in 5 days and Tara in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Ishaan can finish a job in 16 days and Manav in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Zoya and Isha together finish a job in 12 days. Zoya alone takes 20 days. How many days would Isha take alone?
  34. 34.Manav can finish a job in 15 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Diya can finish a job in 6 days and Vivaan in 30 days. Diya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  36. 36.Dev can finish a job in 15 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Aditya can finish a job in 12 days and Priya in 8 days. Aditya works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  38. 38.Meera works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  39. 39.Arjun can finish a job in 25 days and Karan in 5 days. Arjun works alone for 20 days and then stops. Karan finishes the rest. How many days does Karan take?
  40. 40.Aditya can finish a job in 16 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 24
  2. 44
  3. 140/27
  4. 48/7
  5. 3/10
  6. 3/2
  7. 24
  8. 152/27
  9. 170/27
  10. 12
  11. 32/85
  12. 4
  13. 27
  14. 12
  15. 45/7
  16. 91/20
  17. 12
  18. 4
  19. 6
  20. 6
  21. 22
  22. 40
  23. 6
  24. 9
  25. 12
  26. 36/13
  27. 15
  28. 7/20
  29. 60/19
  30. 6
  31. 9/20
  32. 31/240
  33. 30
  34. 6
  35. 10
  36. 7/60
  37. 6
  38. 6
  39. 1
  40. 112/23

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