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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 481 · 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.Kabir and Karan together finish a job in 10 days. Kabir alone takes 15 days. How many days would Karan take alone?
  2. 2.Sneha can finish a job in 2 days and Priya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Aditya can finish a job in 24 days and Vivaan in 16 days. Aditya works alone for 15 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  4. 4.Kavya can finish a job in 10 days and Isha in 30 days. Kavya works alone for 9 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Dev can finish a job in 3 days and Kabir 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 19 days and Ananya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Dev can finish a job in 6 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Saanvi works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  9. 9.Zoya can finish a job in 15 days and Rohan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Vivaan and Ishaan together finish a job in 13 days. Vivaan alone takes 26 days. How many days would Ishaan take alone?
  11. 11.Ishaan can finish a job in 12 days and Meera in 6 days. Ishaan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  12. 12.Rahul works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  13. 13.Sneha works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  14. 14.Karan works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  15. 15.Farhan and Dev together finish a job in 8 days. Farhan alone takes 12 days. How many days would Dev take alone?
  16. 16.Aditya can finish a job in 13 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Priya can finish a job in 8 days and Isha in 16 days. Priya works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  18. 18.Ananya can finish a job in 18 days and Arjun in 12 days. Ananya works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  19. 19.Farhan works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  20. 20.Diya can finish a job in 7 days and Ishaan in 28 days. Diya works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  21. 21.Rahul can finish a job in 11 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Pooja and Tara together finish a job in 3 days. Pooja alone takes 6 days. How many days would Tara take alone?
  23. 23.Sneha can finish a job in 9 days and Rahul in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ishaan and Dev together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Dev take alone?
  25. 25.Karan can finish a job in 6 days and Dev in 18 days. Karan works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  26. 26.Sneha works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  27. 27.Manav and Pooja together finish a job in 5 days. Manav alone takes 6 days. How many days would Pooja take alone?
  28. 28.Ishaan can finish a job in 12 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Farhan can finish a job in 14 days and Karan in 7 days. Farhan works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  30. 30.Saanvi and Rohan together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Rohan take alone?
  31. 31.Manav can finish a job in 16 days and Meera in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Diya and Ishaan together finish a job in 2 days. Diya alone takes 3 days. How many days would Ishaan take alone?
  33. 33.Farhan can finish a job in 5 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Ananya works three times as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  35. 35.Dev can finish a job in 5 days and Karan in 10 days. Dev works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  36. 36.Rohan can finish a job in 7 days and Sneha in 21 days. Rohan works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  37. 37.Manav works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  38. 38.Rohan can finish a job in 12 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Diya works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  40. 40.Karan and Zoya together finish a job in 2 days. Karan alone takes 6 days. How many days would Zoya take alone?

Answer key

  1. 30
  2. 7/4
  3. 6
  4. 3
  5. 12/7
  6. 209/30
  7. 30/11
  8. 36
  9. 26/165
  10. 26
  11. 5
  12. 6
  13. 8
  14. 36
  15. 24
  16. 247/32
  17. 2
  18. 8
  19. 33
  20. 16
  21. 72/143
  22. 6
  23. 9/4
  24. 6
  25. 12
  26. 15
  27. 30
  28. 228/31
  29. 4
  30. 4
  31. 31/120
  32. 6
  33. 35/12
  34. 28
  35. 2
  36. 15
  37. 21
  38. 19/28
  39. 36
  40. 3

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