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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 461 · 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.Karan can finish a job in 4 days and Farhan in 24 days. Karan works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  2. 2.Ananya can finish a job in 19 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Arjun can finish a job in 12 days and Karan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Vivaan can finish a job in 14 days and Tara in 28 days. Vivaan works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  5. 5.Ananya can finish a job in 16 days and Manav in 18 days. Ananya works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
  6. 6.Sneha can finish a job in 15 days and Manav in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Nisha can finish a job in 11 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Vivaan and Pooja together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Pooja take alone?
  9. 9.Tara can finish a job in 15 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Meera can finish a job in 6 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Vivaan works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  12. 12.Pooja and Isha together finish a job in 3 days. Pooja alone takes 4 days. How many days would Isha take alone?
  13. 13.Aarav can finish a job in 4 days and Zoya in 20 days. Aarav works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  14. 14.Aarav can finish a job in 15 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Zoya can finish a job in 9 days and Rohan in 18 days. Zoya works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  16. 16.Ananya can finish a job in 20 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Farhan can finish a job in 6 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aditya can finish a job in 15 days and Zoya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ananya can finish a job in 16 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rahul and Farhan together finish a job in 11 days. Rahul alone takes 22 days. How many days would Farhan take alone?
  21. 21.Meera and Priya together finish a job in 15 days. Meera alone takes 18 days. How many days would Priya take alone?
  22. 22.Meera can finish a job in 16 days and Kavya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Farhan and Rahul together finish a job in 4 days. Farhan alone takes 5 days. How many days would Rahul take alone?
  24. 24.Diya can finish a job in 17 days and Nisha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aditya works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  26. 26.Kabir works three times as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  27. 27.Dev works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  28. 28.Rohan can finish a job in 8 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Rohan can finish a job in 7 days and Aditya in 14 days. Rohan works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  30. 30.Isha can finish a job in 14 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Rohan can finish a job in 7 days and Sneha in 28 days. Rohan works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  32. 32.Zoya works twice as fast as Arjun. Together they finish a job in 9 days. How many days would Arjun take alone?
  33. 33.Diya and Isha together finish a job in 2 days. Diya alone takes 4 days. How many days would Isha take alone?
  34. 34.Isha and Aditya together finish a job in 6 days. Isha alone takes 9 days. How many days would Aditya take alone?
  35. 35.Ananya can finish a job in 7 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ananya works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  37. 37.Kabir works twice as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
  38. 38.Ishaan can finish a job in 2 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Saanvi and Rohan together finish a job in 4 days. Saanvi alone takes 8 days. How many days would Rohan take alone?
  40. 40.Arjun works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?

Answer key

  1. 18
  2. 26/133
  3. 7/48
  4. 26
  5. 9
  6. 23/60
  7. 44/15
  8. 12
  9. 5/2
  10. 66/17
  11. 18
  12. 12
  13. 15
  14. 31/120
  15. 8
  16. 20/3
  17. 12/5
  18. 90/11
  19. 144/25
  20. 22
  21. 90
  22. 80/9
  23. 20
  24. 221/30
  25. 12
  26. 44
  27. 30
  28. 24/7
  29. 4
  30. 17/70
  31. 8
  32. 27
  33. 4
  34. 18
  35. 140/27
  36. 48
  37. 30
  38. 18/11
  39. 8
  40. 16

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