← Time and work lesson New set →

Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 398 · 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.Priya can finish a job in 22 days and Arjun in 6 days. Priya works alone for 11 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  2. 2.Tara can finish a job in 20 days and Pooja in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Vivaan and Rahul together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Rahul take alone?
  4. 4.Kavya can finish a job in 5 days and Priya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Priya works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  6. 6.Priya works twice as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  7. 7.Dev and Zoya together finish a job in 9 days. Dev alone takes 12 days. How many days would Zoya take alone?
  8. 8.Tara works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  9. 9.Aditya can finish a job in 11 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Aditya works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  11. 11.Aarav can finish a job in 11 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Pooja can finish a job in 5 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Karan works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
  14. 14.Ananya works twice as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  15. 15.Diya can finish a job in 12 days and Priya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aarav can finish a job in 9 days and Kabir in 27 days. Aarav works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  17. 17.Rohan and Rahul together finish a job in 2 days. Rohan alone takes 3 days. How many days would Rahul take alone?
  18. 18.Saanvi and Dev together finish a job in 12 days. Saanvi alone takes 14 days. How many days would Dev take alone?
  19. 19.Arjun and Kabir together finish a job in 4 days. Arjun alone takes 12 days. How many days would Kabir take alone?
  20. 20.Ananya can finish a job in 3 days and Tara in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Tara can finish a job in 4 days and Isha in 28 days. Tara works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
  22. 22.Dev can finish a job in 24 days and Priya in 8 days. Dev works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  23. 23.Arjun can finish a job in 24 days and Kabir in 28 days. Arjun works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  24. 24.Ananya can finish a job in 18 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Vivaan can finish a job in 18 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Sneha can finish a job in 2 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Zoya works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  28. 28.Meera can finish a job in 18 days and Diya in 9 days. Meera works alone for 16 days and then stops. Diya finishes the rest. How many days does Diya take?
  29. 29.Sneha can finish a job in 12 days and Rohan in 28 days. Sneha works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  30. 30.Zoya can finish a job in 12 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Kavya can finish a job in 21 days and Nisha in 14 days. Kavya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  32. 32.Vivaan and Pooja together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Pooja take alone?
  33. 33.Farhan can finish a job in 4 days and Nisha in 6 days. Farhan works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  34. 34.Dev can finish a job in 9 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Tara and Ananya together finish a job in 5 days. Tara alone takes 10 days. How many days would Ananya take alone?
  36. 36.Isha can finish a job in 11 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Diya works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  38. 38.Dev can finish a job in 12 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aarav can finish a job in 10 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Karan can finish a job in 5 days and Kavya in 30 days. Karan works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?

Answer key

  1. 3
  2. 80/9
  3. 12
  4. 39/40
  5. 30
  6. 12
  7. 36
  8. 20
  9. 88/19
  10. 24
  11. 16/55
  12. 21/40
  13. 27
  14. 24
  15. 7/12
  16. 21
  17. 6
  18. 84
  19. 6
  20. 57/22
  21. 21
  22. 7
  23. 21
  24. 6
  25. 234/31
  26. 4/3
  27. 33
  28. 1
  29. 21
  30. 17/20
  31. 12
  32. 4
  33. 3
  34. 117/22
  35. 10
  36. 72/143
  37. 12
  38. 60/17
  39. 190/29
  40. 12

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude