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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 429 · 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.Rohan can finish a job in 16 days and Ishaan in 24 days. Rohan works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  2. 2.Aditya works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  3. 3.Arjun works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  4. 4.Aarav and Aditya together finish a job in 3 days. Aarav alone takes 4 days. How many days would Aditya take alone?
  5. 5.Arjun can finish a job in 19 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Aarav and Meera together finish a job in 12 days. Aarav alone takes 20 days. How many days would Meera take alone?
  7. 7.Rohan works twice as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  8. 8.Dev can finish a job in 14 days and Priya in 20 days. Dev works alone for 7 days and then stops. Priya finishes the rest. How many days does Priya take?
  9. 9.Sneha and Vivaan together finish a job in 5 days. Sneha alone takes 30 days. How many days would Vivaan take alone?
  10. 10.Dev works twice as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  11. 11.Meera can finish a job in 17 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kabir and Kavya together finish a job in 6 days. Kabir alone takes 7 days. How many days would Kavya take alone?
  13. 13.Rahul can finish a job in 6 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Meera works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  15. 15.Sneha can finish a job in 5 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Arjun can finish a job in 14 days and Manav in 10 days. Arjun works alone for 7 days and then stops. Manav finishes the rest. How many days does Manav take?
  17. 17.Nisha works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  18. 18.Meera can finish a job in 13 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Zoya and Nisha together finish a job in 2 days. Zoya alone takes 3 days. How many days would Nisha take alone?
  20. 20.Arjun and Tara together finish a job in 4 days. Arjun alone takes 5 days. How many days would Tara take alone?
  21. 21.Tara can finish a job in 4 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Diya can finish a job in 8 days and Dev in 28 days. Diya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  23. 23.Saanvi and Manav together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Manav take alone?
  24. 24.Dev works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  25. 25.Ananya can finish a job in 11 days and Isha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Aditya works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  27. 27.Vivaan and Nisha together finish a job in 6 days. Vivaan alone takes 10 days. How many days would Nisha take alone?
  28. 28.Kavya can finish a job in 16 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Priya works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  30. 30.Saanvi can finish a job in 14 days and Dev in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Manav can finish a job in 4 days and Saanvi in 24 days. Manav works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  32. 32.Karan can finish a job in 28 days and Arjun in 16 days. Karan works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  33. 33.Ananya works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  34. 34.Aarav can finish a job in 10 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Dev can finish a job in 16 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ananya can finish a job in 5 days and Dev in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Diya can finish a job in 5 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Karan can finish a job in 8 days and Kabir in 4 days. Karan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  39. 39.Zoya and Vivaan together finish a job in 4 days. Zoya alone takes 5 days. How many days would Vivaan take alone?
  40. 40.Manav can finish a job in 9 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 9
  2. 18
  3. 27
  4. 12
  5. 38/21
  6. 30
  7. 9
  8. 10
  9. 6
  10. 6
  11. 85/22
  12. 42
  13. 7/8
  14. 36
  15. 15/4
  16. 5
  17. 30
  18. 18/65
  19. 6
  20. 20
  21. 28/11
  22. 14
  23. 6
  24. 9
  25. 81/176
  26. 20
  27. 15
  28. 21/40
  29. 36
  30. 29/210
  31. 18
  32. 12
  33. 27
  34. 7/20
  35. 48/7
  36. 95/24
  37. 9/10
  38. 3
  39. 20
  40. 6

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