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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 287 · 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.Kavya can finish a job in 10 days and Tara in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Rahul can finish a job in 4 days and Rohan in 6 days. Rahul works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Rahul can finish a job in 9 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Arjun can finish a job in 10 days and Aarav in 25 days. Arjun works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  5. 5.Sneha can finish a job in 19 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Farhan can finish a job in 20 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Ishaan can finish a job in 24 days and Arjun in 6 days. Ishaan works alone for 8 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  8. 8.Saanvi and Zoya together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Zoya take alone?
  9. 9.Ananya can finish a job in 18 days and Manav in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Kavya can finish a job in 15 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Ananya can finish a job in 3 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Arjun can finish a job in 4 days and Karan in 24 days. Arjun works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  13. 13.Aarav can finish a job in 8 days and Kabir in 18 days. Aarav works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  14. 14.Nisha and Rahul together finish a job in 2 days. Nisha alone takes 3 days. How many days would Rahul take alone?
  15. 15.Manav can finish a job in 9 days and Isha in 18 days. Manav works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  16. 16.Priya can finish a job in 8 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. =
  17. 17.Aarav and Tara together finish a job in 8 days. Aarav alone takes 9 days. How many days would Tara take alone?
  18. 18.Saanvi can finish a job in 11 days and Aditya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Diya and Meera together finish a job in 12 days. Diya alone takes 16 days. How many days would Meera take alone?
  20. 20.Nisha can finish a job in 12 days and Kabir in 8 days. Nisha works alone for 9 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  21. 21.Kabir and Saanvi together finish a job in 3 days. Kabir alone takes 4 days. How many days would Saanvi take alone?
  22. 22.Aarav and Kabir together finish a job in 2 days. Aarav alone takes 3 days. How many days would Kabir take alone?
  23. 23.Vivaan and Manav together finish a job in 3 days. Vivaan alone takes 6 days. How many days would Manav take alone?
  24. 24.Rohan and Meera together finish a job in 2 days. Rohan alone takes 3 days. How many days would Meera take alone?
  25. 25.Sneha can finish a job in 2 days and Priya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Arjun can finish a job in 30 days and Aditya in 18 days. Arjun works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  27. 27.Karan can finish a job in 5 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Kavya works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  29. 29.Meera can finish a job in 8 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Zoya can finish a job in 10 days and Dev in 28 days. Zoya works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  31. 31.Meera and Isha together finish a job in 4 days. Meera alone takes 5 days. How many days would Isha take alone?
  32. 32.Farhan can finish a job in 6 days and Pooja in 21 days. Farhan works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  33. 33.Kabir can finish a job in 5 days and Sneha in 16 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 4 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. =
  35. 35.Vivaan can finish a job in 18 days and Nisha in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Pooja can finish a job in 3 days and Diya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir can finish a job in 4 days and Dev in 16 days. Kabir works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  38. 38.Vivaan works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  39. 39.Tara works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  40. 40.Farhan can finish a job in 6 days and Aditya in 11 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 3/10
  2. 3
  3. 16/21
  4. 20
  5. 342/37
  6. 21/40
  7. 4
  8. 3
  9. 14/45
  10. 31/120
  11. 12/7
  12. 18
  13. 9
  14. 6
  15. 14
  16. 24/11
  17. 72
  18. 24/143
  19. 48
  20. 2
  21. 12
  22. 6
  23. 6
  24. 6
  25. 12/7
  26. 15
  27. 21/80
  28. 12
  29. 152/27
  30. 14
  31. 20
  32. 7
  33. 80/21
  34. 10/3
  35. 5/36
  36. 57/22
  37. 4
  38. 21
  39. 27
  40. 17/66

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