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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 421 · 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.Tara works twice as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  2. 2.Kabir can finish a job in 2 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Farhan and Ananya together finish a job in 6 days. Farhan alone takes 8 days. How many days would Ananya take alone?
  4. 4.Ishaan and Sneha together finish a job in 12 days. Ishaan alone takes 16 days. How many days would Sneha take alone?
  5. 5.Aditya can finish a job in 7 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rohan can finish a job in 5 days and Meera in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Ananya can finish a job in 10 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Karan can finish a job in 14 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Vivaan can finish a job in 4 days and Ishaan in 12 days. Vivaan works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  10. 10.Tara can finish a job in 10 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Isha can finish a job in 3 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ishaan and Kavya together finish a job in 7 days. Ishaan alone takes 8 days. How many days would Kavya take alone?
  13. 13.Manav can finish a job in 15 days and Dev in 10 days. Manav works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  14. 14.Sneha can finish a job in 5 days and Pooja in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Priya can finish a job in 5 days and Manav in 10 days. Priya works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Vivaan can finish a job in 10 days and Saanvi in 24 days. Vivaan works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  17. 17.Aditya can finish a job in 20 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Arjun can finish a job in 14 days and Manav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Diya can finish a job in 30 days and Rahul in 6 days. Diya works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  20. 20.Rohan can finish a job in 2 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Dev can finish a job in 14 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Manav can finish a job in 18 days and Kabir in 4 days. Manav works alone for 9 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  23. 23.Aarav can finish a job in 10 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kabir can finish a job in 8 days and Dev in 24 days. Kabir works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  25. 25.Meera can finish a job in 15 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Aarav can finish a job in 8 days and Sneha in 20 days. Aarav works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  27. 27.Kavya can finish a job in 19 days and Sneha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Arjun can finish a job in 3 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Pooja can finish a job in 18 days and Kabir in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Sneha and Farhan together finish a job in 2 days. Sneha alone takes 4 days. How many days would Farhan take alone?
  31. 31.Aarav can finish a job in 20 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Kabir can finish a job in 28 days and Ananya in 14 days. Kabir works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  33. 33.Nisha can finish a job in 5 days and Priya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aarav can finish a job in 9 days and Rohan in 18 days. Aarav works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  35. 35.Rohan can finish a job in 18 days and Priya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Dev can finish a job in 12 days and Isha in 16 days. Dev works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  37. 37.Tara and Manav together finish a job in 2 days. Tara alone takes 4 days. How many days would Manav take alone?
  38. 38.Ananya can finish a job in 8 days and Isha in 24 days. Ananya works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  39. 39.Priya can finish a job in 19 days and Isha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Arjun can finish a job in 4 days and Vivaan in 28 days. Arjun works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?

Answer key

  1. 18
  2. 38/21
  3. 24
  4. 48
  5. 105/22
  6. 72/95
  7. 7/45
  8. 28/9
  9. 3
  10. 10/3
  11. 12/7
  12. 56
  13. 8
  14. 40/13
  15. 8
  16. 12
  17. 380/39
  18. 63/8
  19. 3
  20. 5/3
  21. 11/28
  22. 2
  23. 170/27
  24. 3
  25. 8/15
  26. 5
  27. 105/304
  28. 2
  29. 35/306
  30. 4
  31. 7/60
  32. 12
  33. 85/22
  34. 14
  35. 144/17
  36. 12
  37. 4
  38. 3
  39. 285/34
  40. 14

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