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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 388 · 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.Ishaan can finish a job in 8 days and Ananya in 16 days. Ishaan works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  2. 2.Vivaan can finish a job in 16 days and Meera in 4 days. Vivaan works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  3. 3.Nisha and Saanvi together finish a job in 2 days. Nisha alone takes 3 days. How many days would Saanvi take alone?
  4. 4.Rohan can finish a job in 4 days and Saanvi in 8 days. Rohan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  5. 5.Nisha can finish a job in 4 days and Isha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Nisha can finish a job in 8 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Vivaan can finish a job in 18 days and Priya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Karan and Arjun together finish a job in 2 days. Karan alone takes 3 days. How many days would Arjun take alone?
  9. 9.Ananya can finish a job in 12 days and Farhan in 9 days. Ananya works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  10. 10.Rahul can finish a job in 9 days and Tara in 27 days. Rahul works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  11. 11.Saanvi works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  12. 12.Farhan can finish a job in 18 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Kavya can finish a job in 6 days and Isha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Zoya can finish a job in 9 days and Saanvi in 21 days. Zoya works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  15. 15.Zoya works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
  16. 16.Tara and Kabir together finish a job in 2 days. Tara alone takes 4 days. How many days would Kabir take alone?
  17. 17.Diya can finish a job in 7 days and Ananya in 15 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 18 days and Priya in 14 days. Aditya works alone for 9 days and then stops. Priya finishes the rest. How many days does Priya take?
  19. 19.Aarav and Vivaan together finish a job in 4 days. Aarav alone takes 6 days. How many days would Vivaan take alone?
  20. 20.Ishaan and Karan together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Karan take alone?
  21. 21.Saanvi can finish a job in 20 days and Zoya in 4 days. Saanvi works alone for 10 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  22. 22.Dev works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  23. 23.Diya can finish a job in 9 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ishaan works twice as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  25. 25.Diya can finish a job in 6 days and Arjun in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Dev and Diya together finish a job in 2 days. Dev alone takes 3 days. How many days would Diya take alone?
  27. 27.Nisha can finish a job in 5 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Kavya can finish a job in 2 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Meera can finish a job in 6 days and Priya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Priya can finish a job in 4 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Vivaan works three times as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  32. 32.Aditya and Priya together finish a job in 9 days. Aditya alone takes 10 days. How many days would Priya take alone?
  33. 33.Rohan works three times as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  34. 34.Ananya and Karan together finish a job in 3 days. Ananya alone takes 6 days. How many days would Karan take alone?
  35. 35.Manav can finish a job in 16 days and Saanvi in 7 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 Meera in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Ishaan can finish a job in 18 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Sneha and Ananya together finish a job in 6 days. Sneha alone takes 7 days. How many days would Ananya take alone?
  39. 39.Diya and Zoya together finish a job in 9 days. Diya alone takes 10 days. How many days would Zoya take alone?
  40. 40.Priya can finish a job in 3 days and Farhan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 8
  2. 3
  3. 6
  4. 6
  5. 5/12
  6. 136/25
  7. 72/13
  8. 6
  9. 3
  10. 18
  11. 8
  12. 90/23
  13. 5/18
  14. 7
  15. 36
  16. 4
  17. 105/22
  18. 7
  19. 12
  20. 6
  21. 2
  22. 8
  23. 153/26
  24. 30
  25. 48/11
  26. 6
  27. 10/7
  28. 6/5
  29. 13/21
  30. 20/7
  31. 48
  32. 90
  33. 32
  34. 6
  35. 112/23
  36. 8/21
  37. 72/13
  38. 42
  39. 90
  40. 33/14

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