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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 47 · 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.Saanvi and Vivaan together finish a job in 6 days. Saanvi alone takes 18 days. How many days would Vivaan take alone?
  2. 2.Sneha can finish a job in 18 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Nisha can finish a job in 15 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Meera can finish a job in 6 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Dev can finish a job in 17 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Aarav can finish a job in 6 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Sneha can finish a job in 16 days and Tara in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Sneha can finish a job in 11 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Dev can finish a job in 17 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Pooja can finish a job in 11 days and Rohan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Rohan can finish a job in 2 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Karan can finish a job in 7 days and Kavya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Rahul and Diya together finish a job in 4 days. Rahul alone takes 5 days. How many days would Diya take alone?
  14. 14.Dev and Ananya together finish a job in 6 days. Dev alone takes 8 days. How many days would Ananya take alone?
  15. 15.Kabir works three times as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  16. 16.Rohan and Rahul together finish a job in 9 days. Rohan alone takes 12 days. How many days would Rahul take alone?
  17. 17.Vivaan and Kabir together finish a job in 6 days. Vivaan alone takes 7 days. How many days would Kabir take alone?
  18. 18.Ananya works three times as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  19. 19.Kavya can finish a job in 16 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Aarav can finish a job in 16 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Farhan and Kabir together finish a job in 6 days. Farhan alone takes 8 days. How many days would Kabir take alone?
  22. 22.Saanvi can finish a job in 12 days and Zoya in 24 days. Saanvi works alone for 9 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  23. 23.Diya can finish a job in 12 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Nisha can finish a job in 11 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Tara can finish a job in 12 days and Diya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Diya works twice as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  27. 27.Kavya can finish a job in 10 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Priya and Tara together finish a job in 2 days. Priya alone takes 3 days. How many days would Tara take alone?
  29. 29.Farhan and Arjun together finish a job in 3 days. Farhan alone takes 4 days. How many days would Arjun take alone?
  30. 30.Vivaan can finish a job in 3 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Dev and Kabir together finish a job in 2 days. Dev alone takes 4 days. How many days would Kabir take alone?
  32. 32.Tara works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  33. 33.Karan can finish a job in 9 days and Aditya in 27 days. Karan works alone for 8 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  34. 34.Rohan works three times as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  35. 35.Aditya can finish a job in 17 days and Priya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Nisha works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  37. 37.Aarav can finish a job in 13 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Rohan can finish a job in 5 days and Rahul in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Pooja works three times as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  40. 40.Dev works three times as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?

Answer key

  1. 9
  2. 180/19
  3. 60/19
  4. 7/15
  5. 51/20
  6. 10/21
  7. 21/40
  8. 88/19
  9. 51/20
  10. 20/99
  11. 38/21
  12. 91/20
  13. 20
  14. 24
  15. 36
  16. 36
  17. 42
  18. 24
  19. 3/8
  20. 13/40
  21. 24
  22. 6
  23. 4
  24. 27/88
  25. 1/4
  26. 12
  27. 8/15
  28. 6
  29. 12
  30. 51/20
  31. 4
  32. 36
  33. 3
  34. 16
  35. 153/26
  36. 36
  37. 22/39
  38. 65/18
  39. 8
  40. 44

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