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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 150 · 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 Sneha together finish a job in 4 days. Arjun alone takes 5 days. How many days would Sneha take alone?
  2. 2.Nisha can finish a job in 20 days and Priya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Ishaan and Priya together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Priya take alone?
  4. 4.Karan can finish a job in 5 days and Rahul in 25 days. Karan works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  5. 5.Pooja can finish a job in 16 days and Vivaan in 24 days. Pooja works alone for 12 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  6. 6.Dev works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  7. 7.Karan can finish a job in 6 days and Priya in 12 days. Karan works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  8. 8.Rohan can finish a job in 4 days and Karan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Aarav works twice as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  10. 10.Rohan and Saanvi together finish a job in 2 days. Rohan alone takes 6 days. How many days would Saanvi take alone?
  11. 11.Vivaan works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  12. 12.Pooja can finish a job in 4 days and Arjun in 28 days. Pooja works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  13. 13.Isha can finish a job in 5 days and Dev in 25 days. Isha works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  14. 14.Saanvi can finish a job in 16 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Ananya works twice as fast as Arjun. Together they finish a job in 9 days. How many days would Arjun take alone?
  16. 16.Pooja can finish a job in 18 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Aditya can finish a job in 19 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. =
  18. 18.Saanvi can finish a job in 15 days and Dev in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Saanvi can finish a job in 9 days and Aarav in 27 days. Saanvi works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  20. 20.Kabir works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  21. 21.Sneha works twice as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  22. 22.Sneha can finish a job in 7 days and Vivaan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Meera can finish a job in 15 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Meera can finish a job in 9 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Karan can finish a job in 4 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ishaan can finish a job in 24 days and Isha in 16 days. Ishaan works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  27. 27.Meera can finish a job in 19 days and Isha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rohan can finish a job in 5 days and Arjun in 25 days. Rohan works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  29. 29.Zoya and Arjun together finish a job in 3 days. Zoya alone takes 4 days. How many days would Arjun take alone?
  30. 30.Isha can finish a job in 18 days and Karan in 30 days. Isha works alone for 12 days and then stops. Karan finishes the rest. How many days does Karan take?
  31. 31.Saanvi can finish a job in 7 days and Nisha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Meera can finish a job in 6 days and Priya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Aarav and Pooja together finish a job in 4 days. Aarav alone takes 5 days. How many days would Pooja take alone?
  34. 34.Ishaan and Arjun together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Arjun take alone?
  35. 35.Rohan can finish a job in 24 days and Ananya in 21 days. Rohan works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  36. 36.Aditya and Kabir together finish a job in 7 days. Aditya alone takes 8 days. How many days would Kabir take alone?
  37. 37.Aarav can finish a job in 7 days and Aditya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Tara can finish a job in 20 days and Saanvi 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 8 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Kabir can finish a job in 11 days and Karan in 13 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 20
  2. 3/4
  3. 20
  4. 15
  5. 6
  6. 33
  7. 4
  8. 36/13
  9. 33
  10. 3
  11. 15
  12. 7
  13. 10
  14. 80/9
  15. 27
  16. 31/78
  17. 76/23
  18. 29/105
  19. 18
  20. 33
  21. 21
  22. 25/126
  23. 3/20
  24. 14/45
  25. 36/11
  26. 12
  27. 228/31
  28. 10
  29. 12
  30. 10
  31. 105/22
  32. 10/21
  33. 20
  34. 6
  35. 14
  36. 56
  37. 42/13
  38. 60/23
  39. 23/60
  40. 48/143

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