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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 448 · 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.Saanvi and Karan together finish a job in 4 days. Saanvi alone takes 5 days. How many days would Karan take alone?
  2. 2.Priya can finish a job in 5 days and Sneha in 15 days. Priya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  3. 3.Ishaan can finish a job in 17 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Kabir can finish a job in 18 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Meera and Rohan together finish a job in 7 days. Meera alone takes 14 days. How many days would Rohan take alone?
  6. 6.Ishaan works twice as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
  7. 7.Saanvi can finish a job in 19 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Kavya can finish a job in 4 days and Karan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Rahul can finish a job in 16 days and Meera in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Ishaan can finish a job in 3 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. =
  11. 11.Dev can finish a job in 12 days and Vivaan in 6 days. Dev works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  12. 12.Zoya works twice as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  13. 13.Meera can finish a job in 5 days and Aditya in 25 days. Meera works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  14. 14.Manav can finish a job in 18 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Aarav and Priya together finish a job in 10 days. Aarav alone takes 12 days. How many days would Priya take alone?
  16. 16.Tara and Aarav together finish a job in 13 days. Tara alone takes 26 days. How many days would Aarav take alone?
  17. 17.Kabir works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  18. 18.Manav can finish a job in 11 days and Karan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Tara can finish a job in 18 days and Aditya in 6 days. Tara works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  20. 20.Aditya can finish a job in 12 days and Kavya in 24 days. Aditya works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  21. 21.Ishaan can finish a job in 14 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan can finish a job in 10 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rahul works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  24. 24.Zoya can finish a job in 9 days and Dev in 27 days. Zoya works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  25. 25.Sneha and Farhan together finish a job in 5 days. Sneha alone takes 6 days. How many days would Farhan take alone?
  26. 26.Vivaan works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  27. 27.Tara works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  28. 28.Diya works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  29. 29.Kavya can finish a job in 9 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rohan can finish a job in 8 days and Meera in 4 days. Rohan works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  31. 31.Manav and Kavya together finish a job in 15 days. Manav alone takes 24 days. How many days would Kavya take alone?
  32. 32.Manav can finish a job in 8 days and Aditya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Saanvi works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  34. 34.Isha works twice as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  35. 35.Ananya and Pooja together finish a job in 4 days. Ananya alone takes 5 days. How many days would Pooja take alone?
  36. 36.Ananya can finish a job in 8 days and Kavya in 4 days. Ananya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  37. 37.Isha can finish a job in 8 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. =
  38. 38.Kavya can finish a job in 6 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Farhan can finish a job in 5 days and Dev in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Kavya and Aarav together finish a job in 6 days. Kavya alone takes 12 days. How many days would Aarav take alone?

Answer key

  1. 20
  2. 9
  3. 27/85
  4. 17/72
  5. 14
  6. 24
  7. 69/76
  8. 60/19
  9. 29/208
  10. 33/14
  11. 1
  12. 18
  13. 15
  14. 35/306
  15. 60
  16. 26
  17. 48
  18. 99/20
  19. 5
  20. 18
  21. 7/4
  22. 10/3
  23. 20
  24. 12
  25. 30
  26. 36
  27. 20
  28. 36
  29. 63/16
  30. 1
  31. 40
  32. 24/5
  33. 24
  34. 21
  35. 20
  36. 3
  37. 72/17
  38. 48/11
  39. 8/15
  40. 12

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