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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 200 · 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.Rohan can finish a job in 16 days and Aditya in 24 days. Rohan works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  2. 2.Rahul and Sneha together finish a job in 2 days. Rahul alone takes 3 days. How many days would Sneha take alone?
  3. 3.Ananya can finish a job in 10 days and Saanvi in 15 days. Ananya works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  4. 4.Diya and Meera together finish a job in 4 days. Diya alone takes 5 days. How many days would Meera take alone?
  5. 5.Karan and Aarav together finish a job in 18 days. Karan alone takes 24 days. How many days would Aarav take alone?
  6. 6.Manav 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. =
  7. 7.Meera and Zoya together finish a job in 5 days. Meera alone takes 10 days. How many days would Zoya take alone?
  8. 8.Kabir can finish a job in 7 days and Vivaan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan can finish a job in 9 days and Manav in 24 days. Ishaan works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  10. 10.Arjun can finish a job in 2 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Tara works twice as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  12. 12.Saanvi can finish a job in 3 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ishaan can finish a job in 4 days and Arjun in 24 days. Ishaan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  14. 14.Dev can finish a job in 12 days and Farhan in 18 days. Dev works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  15. 15.Diya and Rahul together finish a job in 2 days. Diya alone takes 4 days. How many days would Rahul take alone?
  16. 16.Aditya and Ishaan together finish a job in 6 days. Aditya alone takes 9 days. How many days would Ishaan take alone?
  17. 17.Saanvi and Farhan together finish a job in 6 days. Saanvi alone takes 8 days. How many days would Farhan take alone?
  18. 18.Aditya can finish a job in 6 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Pooja and Manav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Manav take alone?
  20. 20.Diya and Tara together finish a job in 2 days. Diya alone takes 6 days. How many days would Tara take alone?
  21. 21.Kabir and Diya together finish a job in 2 days. Kabir alone takes 6 days. How many days would Diya take alone?
  22. 22.Dev can finish a job in 20 days and Aditya in 30 days. Dev works alone for 8 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  23. 23.Priya can finish a job in 19 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Karan and Aditya together finish a job in 5 days. Karan alone takes 10 days. How many days would Aditya take alone?
  25. 25.Arjun and Saanvi together finish a job in 9 days. Arjun alone takes 12 days. How many days would Saanvi take alone?
  26. 26.Tara and Meera together finish a job in 2 days. Tara alone takes 4 days. How many days would Meera take alone?
  27. 27.Priya can finish a job in 10 days and Aarav in 5 days. Priya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  28. 28.Sneha can finish a job in 9 days and Nisha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aarav can finish a job in 5 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rahul can finish a job in 12 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. =
  31. 31.Farhan and Meera together finish a job in 2 days. Farhan alone takes 6 days. How many days would Meera take alone?
  32. 32.Dev works twice as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  33. 33.Zoya works twice as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  34. 34.Kavya can finish a job in 20 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kabir can finish a job in 7 days and Saanvi in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Tara and Dev together finish a job in 3 days. Tara alone takes 4 days. How many days would Dev take alone?
  37. 37.Tara can finish a job in 16 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Diya can finish a job in 12 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya works twice as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  40. 40.Dev can finish a job in 7 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 18
  2. 6
  3. 3
  4. 20
  5. 72
  6. 117/22
  7. 10
  8. 25/42
  9. 16
  10. 3/2
  11. 18
  12. 2
  13. 12
  14. 15
  15. 4
  16. 18
  17. 24
  18. 25/57
  19. 6
  20. 3
  21. 3
  22. 18
  23. 209/30
  24. 10
  25. 36
  26. 4
  27. 4
  28. 171/28
  29. 30/11
  30. 36/7
  31. 3
  32. 36
  33. 15
  34. 180/19
  35. 140/27
  36. 12
  37. 17/48
  38. 48/7
  39. 24
  40. 91/20

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