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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 350 · 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.Dev can finish a job in 6 days and Rohan in 16 days. Dev works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  2. 2.Vivaan works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  3. 3.Rohan and Farhan together finish a job in 6 days. Rohan alone takes 8 days. How many days would Farhan take alone?
  4. 4.Aarav can finish a job in 9 days and Ishaan in 30 days. Aarav works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  5. 5.Aarav can finish a job in 8 days and Aditya in 24 days. Aarav works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  6. 6.Zoya can finish a job in 8 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Arjun can finish a job in 11 days and Aditya in 22 days. Arjun works alone for 10 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  8. 8.Aditya and Dev together finish a job in 12 days. Aditya alone takes 14 days. How many days would Dev take alone?
  9. 9.Arjun can finish a job in 12 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Rahul can finish a job in 5 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Ananya and Aarav together finish a job in 8 days. Ananya alone takes 24 days. How many days would Aarav take alone?
  12. 12.Sneha and Diya together finish a job in 8 days. Sneha alone takes 9 days. How many days would Diya take alone?
  13. 13.Nisha can finish a job in 10 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Tara works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  15. 15.Aditya works three times as fast as Tara. Together they finish a job in 8 days. How many days would Tara take alone?
  16. 16.Rohan can finish a job in 11 days and Ananya in 22 days. Rohan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  17. 17.Farhan works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  18. 18.Diya works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  19. 19.Ananya can finish a job in 4 days and Saanvi in 8 days. Ananya works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  20. 20.Rohan can finish a job in 6 days and Manav in 12 days. Rohan works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  21. 21.Tara and Diya together finish a job in 5 days. Tara alone takes 6 days. How many days would Diya take alone?
  22. 22.Aarav can finish a job in 17 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Priya can finish a job in 4 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Zoya can finish a job in 5 days and Tara in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Priya can finish a job in 10 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kavya can finish a job in 14 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Saanvi and Kabir together finish a job in 10 days. Saanvi alone takes 15 days. How many days would Kabir take alone?
  28. 28.Priya works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  29. 29.Zoya can finish a job in 9 days and Kabir in 24 days. Zoya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  30. 30.Sneha can finish a job in 5 days and Zoya in 30 days. Sneha works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  31. 31.Kabir can finish a job in 8 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Isha can finish a job in 10 days and Karan in 28 days. Isha works alone for 5 days and then stops. Karan finishes the rest. How many days does Karan take?
  33. 33.Priya can finish a job in 26 days and Aditya in 13 days. Priya works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  34. 34.Aditya and Dev together finish a job in 15 days. Aditya alone takes 20 days. How many days would Dev take alone?
  35. 35.Rohan can finish a job in 8 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ishaan can finish a job in 14 days and Arjun in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Manav can finish a job in 5 days and Vivaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Meera can finish a job in 5 days and Farhan in 25 days. Meera works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  39. 39.Aarav can finish a job in 8 days and Tara in 12 days. Aarav works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  40. 40.Diya can finish a job in 14 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 8
  2. 20
  3. 24
  4. 10
  5. 12
  6. 120/23
  7. 2
  8. 84
  9. 11/60
  10. 19/35
  11. 12
  12. 72
  13. 130/23
  14. 20
  15. 32
  16. 16
  17. 20
  18. 12
  19. 6
  20. 4
  21. 30
  22. 51/20
  23. 19/30
  24. 4
  25. 10/3
  26. 63/8
  27. 30
  28. 15
  29. 16
  30. 6
  31. 33/56
  32. 14
  33. 12
  34. 60
  35. 56/11
  36. 18/35
  37. 95/24
  38. 5
  39. 6
  40. 75/154

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