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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 261 · 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.Ishaan can finish a job in 6 days and Aditya in 30 days. Ishaan works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  2. 2.Manav can finish a job in 18 days and Nisha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Ananya can finish a job in 12 days and Vivaan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Priya can finish a job in 10 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. =
  5. 5.Aditya can finish a job in 19 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Arjun can finish a job in 18 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Priya works twice as fast as Sneha. Together they finish a job in 7 days. How many days would Sneha take alone?
  8. 8.Saanvi can finish a job in 10 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Arjun can finish a job in 12 days and Aarav in 16 days. Arjun works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  10. 10.Ananya can finish a job in 11 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Priya and Farhan together finish a job in 6 days. Priya alone takes 9 days. How many days would Farhan take alone?
  12. 12.Farhan and Kabir together finish a job in 15 days. Farhan alone takes 20 days. How many days would Kabir take alone?
  13. 13.Zoya and Pooja together finish a job in 3 days. Zoya alone takes 4 days. How many days would Pooja take alone?
  14. 14.Nisha can finish a job in 20 days and Kavya in 30 days. Nisha works alone for 12 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Manav works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  16. 16.Ishaan can finish a job in 10 days and Diya in 30 days. Ishaan works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  17. 17.Rohan and Aarav together finish a job in 3 days. Rohan alone takes 4 days. How many days would Aarav take alone?
  18. 18.Dev can finish a job in 12 days and Rohan in 24 days. Dev works alone for 9 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  19. 19.Rohan works three times as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  20. 20.Nisha can finish a job in 18 days and Rahul in 15 days. Nisha works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  21. 21.Ananya can finish a job in 4 days and Pooja in 12 days. Ananya works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  22. 22.Ananya works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  23. 23.Kavya can finish a job in 17 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ishaan and Sneha together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Sneha take alone?
  25. 25.Manav works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  26. 26.Rahul and Arjun together finish a job in 21 days. Rahul alone takes 28 days. How many days would Arjun take alone?
  27. 27.Nisha can finish a job in 13 days and Rahul in 9 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 12 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Dev and Tara together finish a job in 3 days. Dev alone takes 4 days. How many days would Tara take alone?
  30. 30.Kabir can finish a job in 5 days and Karan in 20 days. Kabir works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  31. 31.Saanvi can finish a job in 14 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. =
  32. 32.Arjun can finish a job in 8 days and Tara in 16 days. Arjun works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  33. 33.Aarav works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  34. 34.Karan can finish a job in 10 days and Sneha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Priya works twice as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  36. 36.Sneha can finish a job in 7 days and Meera in 28 days. Sneha works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  37. 37.Saanvi can finish a job in 5 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Farhan and Diya together finish a job in 2 days. Farhan alone takes 3 days. How many days would Diya take alone?
  39. 39.Meera can finish a job in 7 days and Sneha in 14 days. Meera works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
  40. 40.Kavya can finish a job in 4 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. =

Answer key

  1. 20
  2. 23/90
  3. 7/24
  4. 15/4
  5. 38/21
  6. 198/29
  7. 21
  8. 190/29
  9. 8
  10. 77/18
  11. 18
  12. 60
  13. 12
  14. 12
  15. 15
  16. 27
  17. 12
  18. 6
  19. 48
  20. 10
  21. 3
  22. 48
  23. 102/23
  24. 20
  25. 21
  26. 84
  27. 117/22
  28. 12/7
  29. 12
  30. 4
  31. 14/3
  32. 14
  33. 30
  34. 70/17
  35. 15
  36. 24
  37. 14/15
  38. 6
  39. 12
  40. 16/5

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