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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 363 · 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.Aarav can finish a job in 19 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara can finish a job in 10 days and Dev in 15 days. Tara works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Vivaan can finish a job in 12 days and Ananya in 10 days. Vivaan works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  4. 4.Arjun works three times as fast as Farhan. Together they finish a job in 8 days. How many days would Farhan take alone?
  5. 5.Vivaan can finish a job in 6 days and Ananya in 4 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 8 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ishaan works three times as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  8. 8.Nisha and Farhan together finish a job in 5 days. Nisha alone takes 6 days. How many days would Farhan take alone?
  9. 9.Ishaan can finish a job in 6 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Priya and Karan together finish a job in 11 days. Priya alone takes 22 days. How many days would Karan take alone?
  11. 11.Saanvi can finish a job in 16 days and Karan in 6 days. Saanvi works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  12. 12.Karan works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  13. 13.Dev and Arjun together finish a job in 3 days. Dev alone takes 6 days. How many days would Arjun take alone?
  14. 14.Zoya works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  15. 15.Tara can finish a job in 12 days and Ishaan in 16 days. Tara works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  16. 16.Meera can finish a job in 30 days and Arjun in 10 days. Meera works alone for 15 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  17. 17.Nisha works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  18. 18.Ananya and Aditya together finish a job in 6 days. Ananya alone takes 8 days. How many days would Aditya take alone?
  19. 19.Aditya can finish a job in 12 days and Manav in 24 days. Aditya works alone for 7 days and then stops. Manav finishes the rest. How many days does Manav take?
  20. 20.Dev and Rahul together finish a job in 6 days. Dev alone takes 9 days. How many days would Rahul take alone?
  21. 21.Ananya and Farhan together finish a job in 9 days. Ananya alone takes 10 days. How many days would Farhan take alone?
  22. 22.Ananya can finish a job in 5 days and Pooja in 20 days. Ananya works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  23. 23.Nisha can finish a job in 8 days and Ananya in 12 days. Nisha works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  24. 24.Nisha can finish a job in 2 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Manav can finish a job in 5 days and Karan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Karan can finish a job in 8 days and Meera in 14 days. Karan works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  27. 27.Pooja can finish a job in 16 days and Rahul in 8 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 6 days and Dev in 18 days. Rohan works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  29. 29.Meera can finish a job in 8 days and Zoya in 16 days. Meera works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  30. 30.Sneha can finish a job in 7 days and Diya in 21 days. Sneha works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Pooja can finish a job in 16 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Vivaan can finish a job in 7 days and Ananya in 21 days. Vivaan works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  33. 33.Rahul and Aarav together finish a job in 3 days. Rahul alone takes 4 days. How many days would Aarav take alone?
  34. 34.Karan and Rahul together finish a job in 2 days. Karan alone takes 3 days. How many days would Rahul take alone?
  35. 35.Dev can finish a job in 17 days and Priya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Isha and Kabir together finish a job in 18 days. Isha alone takes 24 days. How many days would Kabir take alone?
  37. 37.Arjun works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  38. 38.Tara can finish a job in 4 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. =
  39. 39.Ananya can finish a job in 13 days and Ishaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Vivaan can finish a job in 19 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 247/32
  2. 3
  3. 5
  4. 32
  5. 12/5
  6. 24/11
  7. 24
  8. 30
  9. 114/25
  10. 22
  11. 3
  12. 8
  13. 6
  14. 8
  15. 8
  16. 5
  17. 18
  18. 24
  19. 10
  20. 18
  21. 90
  22. 8
  23. 6
  24. 6/5
  25. 9/10
  26. 7
  27. 16/3
  28. 15
  29. 8
  30. 15
  31. 16/9
  32. 18
  33. 12
  34. 6
  35. 340/37
  36. 72
  37. 44
  38. 44/15
  39. 247/32
  40. 72/95

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