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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 205 · 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.Aarav and Dev together finish a job in 2 days. Aarav alone takes 3 days. How many days would Dev take alone?
  2. 2.Ishaan can finish a job in 4 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Aarav can finish a job in 8 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Karan can finish a job in 10 days and Arjun in 16 days. Karan works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  5. 5.Rohan can finish a job in 11 days and Arjun in 22 days. Rohan works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  6. 6.Karan can finish a job in 4 days and Diya in 8 days. Karan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Zoya works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  8. 8.Isha can finish a job in 12 days and Kabir in 21 days. Isha works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  9. 9.Vivaan can finish a job in 12 days and Priya in 6 days. Vivaan works alone for 6 days and then stops. Priya finishes the rest. How many days does Priya take?
  10. 10.Manav can finish a job in 13 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.Karan can finish a job in 12 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Pooja can finish a job in 18 days and Manav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 15 days and Aditya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Vivaan works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  15. 15.Rahul works twice as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  16. 16.Aditya and Diya together finish a job in 13 days. Aditya alone takes 26 days. How many days would Diya take alone?
  17. 17.Rahul works twice as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  18. 18.Ananya can finish a job in 18 days and Dev in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Rahul can finish a job in 19 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. =
  20. 20.Vivaan can finish a job in 13 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Ishaan can finish a job in 5 days and Pooja in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rohan can finish a job in 16 days and Nisha in 8 days. Rohan works alone for 10 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  23. 23.Aditya can finish a job in 9 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Pooja can finish a job in 4 days and Dev in 10 days. Pooja works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  25. 25.Kavya can finish a job in 4 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Zoya works twice as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  27. 27.Ishaan can finish a job in 3 days and Meera in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Pooja can finish a job in 20 days and Kabir in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ananya works twice as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  30. 30.Diya works twice as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  31. 31.Aarav can finish a job in 8 days and Sneha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Saanvi can finish a job in 26 days and Aditya in 13 days. Saanvi works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  33. 33.Diya can finish a job in 9 days and Meera in 18 days. Diya works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  34. 34.Diya can finish a job in 6 days and Priya in 24 days. Diya works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  35. 35.Arjun can finish a job in 9 days and Sneha in 6 days. Arjun works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  36. 36.Rahul works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  37. 37.Sneha works three times as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
  38. 38.Sneha can finish a job in 4 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Arjun works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  40. 40.Aarav can finish a job in 16 days and Farhan in 28 days. Aarav works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?

Answer key

  1. 6
  2. 36/13
  3. 21/104
  4. 8
  5. 2
  6. 4
  7. 6
  8. 7
  9. 3
  10. 143/24
  11. 29/204
  12. 144/17
  13. 120/23
  14. 8
  15. 21
  16. 26
  17. 9
  18. 1/3
  19. 323/36
  20. 44/117
  21. 4
  22. 3
  23. 18/5
  24. 5
  25. 3/4
  26. 24
  27. 42/17
  28. 220/31
  29. 18
  30. 9
  31. 23/120
  32. 12
  33. 4
  34. 8
  35. 4
  36. 8
  37. 28
  38. 3
  39. 21
  40. 21

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