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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 106 · 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.Isha can finish a job in 5 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Dev can finish a job in 20 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Isha can finish a job in 30 days and Meera in 6 days. Isha works alone for 25 days and then stops. Meera finishes the rest. How many days does Meera take?
  4. 4.Vivaan can finish a job in 7 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Kavya can finish a job in 15 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Aditya can finish a job in 15 days and Ishaan in 30 days. Aditya works alone for 12 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  7. 7.Karan can finish a job in 14 days and Isha in 6 days. Karan works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  8. 8.Diya can finish a job in 26 days and Isha in 13 days. Diya works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  9. 9.Meera works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  10. 10.Sneha can finish a job in 7 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Aditya can finish a job in 15 days and Nisha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kabir can finish a job in 9 days and Rahul in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aarav can finish a job in 16 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Karan and Tara together finish a job in 2 days. Karan alone takes 4 days. How many days would Tara take alone?
  15. 15.Isha can finish a job in 19 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Isha and Aditya together finish a job in 3 days. Isha alone takes 4 days. How many days would Aditya take alone?
  17. 17.Isha can finish a job in 9 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Rohan and Karan together finish a job in 6 days. Rohan alone takes 9 days. How many days would Karan take alone?
  19. 19.Dev and Farhan together finish a job in 9 days. Dev alone takes 10 days. How many days would Farhan take alone?
  20. 20.Rahul and Karan together finish a job in 5 days. Rahul alone takes 10 days. How many days would Karan take alone?
  21. 21.Kavya can finish a job in 10 days and Zoya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Zoya can finish a job in 4 days and Meera in 28 days. Zoya works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  23. 23.Rohan can finish a job in 9 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Saanvi and Ishaan together finish a job in 6 days. Saanvi alone takes 24 days. How many days would Ishaan take alone?
  25. 25.Dev and Isha together finish a job in 3 days. Dev alone takes 6 days. How many days would Isha take alone?
  26. 26.Rahul and Diya together finish a job in 7 days. Rahul alone takes 14 days. How many days would Diya take alone?
  27. 27.Rahul and Tara together finish a job in 16 days. Rahul alone takes 20 days. How many days would Tara take alone?
  28. 28.Aarav can finish a job in 19 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Manav can finish a job in 11 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Pooja can finish a job in 12 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rohan can finish a job in 6 days and Farhan in 9 days. Rohan works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  32. 32.Priya can finish a job in 4 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Diya can finish a job in 7 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Farhan can finish a job in 17 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Manav works twice as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  36. 36.Saanvi can finish a job in 12 days and Diya in 8 days. Saanvi works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  37. 37.Ishaan and Manav together finish a job in 9 days. Ishaan alone takes 10 days. How many days would Manav take alone?
  38. 38.Ananya can finish a job in 17 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Kavya can finish a job in 16 days and Isha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Meera works three times as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?

Answer key

  1. 13/20
  2. 3/5
  3. 1
  4. 69/112
  5. 7/60
  6. 6
  7. 3
  8. 11
  9. 12
  10. 52/133
  11. 20/3
  12. 18/11
  13. 16/3
  14. 4
  15. 68/285
  16. 12
  17. 16/45
  18. 18
  19. 90
  20. 10
  21. 1/3
  22. 7
  23. 36/13
  24. 8
  25. 6
  26. 14
  27. 80
  28. 342/37
  29. 57/88
  30. 36/7
  31. 6
  32. 12/5
  33. 15/56
  34. 23/102
  35. 24
  36. 4
  37. 90
  38. 72/119
  39. 63/80
  40. 44

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