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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 270 · 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 can finish a job in 17 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Nisha can finish a job in 4 days and Rahul in 10 days. Nisha works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  3. 3.Pooja can finish a job in 12 days and Aditya in 16 days. Pooja works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  4. 4.Rahul can finish a job in 14 days and Ananya in 7 days. Rahul works alone for 12 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  5. 5.Arjun can finish a job in 19 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  7. 7.Aditya and Farhan together finish a job in 3 days. Aditya alone takes 4 days. How many days would Farhan take alone?
  8. 8.Dev works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  9. 9.Saanvi can finish a job in 6 days and Dev in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Pooja can finish a job in 14 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Isha and Ishaan together finish a job in 4 days. Isha alone takes 6 days. How many days would Ishaan take alone?
  12. 12.Isha can finish a job in 14 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Priya and Farhan together finish a job in 15 days. Priya alone takes 20 days. How many days would Farhan take alone?
  14. 14.Rohan can finish a job in 12 days and Dev in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Diya can finish a job in 10 days and Manav in 20 days. Diya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Arjun can finish a job in 10 days and Priya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Ishaan and Kabir together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Kabir take alone?
  18. 18.Nisha can finish a job in 15 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Sneha can finish a job in 15 days and Nisha in 12 days. Sneha works alone for 10 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  20. 20.Zoya can finish a job in 4 days and Ishaan in 24 days. Zoya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  21. 21.Tara can finish a job in 13 days and Meera in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Aarav and Farhan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Farhan take alone?
  23. 23.Rahul works three times as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
  24. 24.Diya can finish a job in 13 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Saanvi can finish a job in 4 days and Aditya in 14 days. Saanvi works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  26. 26.Pooja can finish a job in 15 days and Dev in 24 days. Pooja works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  27. 27.Nisha and Rahul together finish a job in 9 days. Nisha alone takes 10 days. How many days would Rahul take alone?
  28. 28.Aarav can finish a job in 9 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Zoya can finish a job in 20 days and Karan in 30 days. Zoya works alone for 16 days and then stops. Karan finishes the rest. How many days does Karan take?
  30. 30.Ananya works three times as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  31. 31.Ananya can finish a job in 20 days and Dev in 10 days. Ananya works alone for 10 days and then stops. Dev finishes the rest. How many days does Dev take?
  32. 32.Ananya works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  33. 33.Aarav works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  34. 34.Nisha can finish a job in 5 days and Kavya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aditya can finish a job in 17 days and Dev in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav and Meera together finish a job in 2 days. Aarav alone takes 3 days. How many days would Meera take alone?
  37. 37.Kavya can finish a job in 2 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Priya can finish a job in 11 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Arjun can finish a job in 6 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Rohan works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?

Answer key

  1. 72/323
  2. 5
  3. 4
  4. 1
  5. 95/24
  6. 24
  7. 12
  8. 20
  9. 23/51
  10. 140/17
  11. 12
  12. 126/23
  13. 60
  14. 5/12
  15. 16
  16. 4/5
  17. 30
  18. 28/195
  19. 4
  20. 12
  21. 182/27
  22. 6
  23. 20
  24. 63/104
  25. 7
  26. 16
  27. 90
  28. 99/20
  29. 6
  30. 20
  31. 5
  32. 8
  33. 24
  34. 85/22
  35. 323/36
  36. 6
  37. 20/11
  38. 99/20
  39. 12/5
  40. 20

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