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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 137 · 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.Arjun works three times as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  2. 2.Sneha works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  3. 3.Ishaan can finish a job in 9 days and Pooja in 6 days. Ishaan works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  4. 4.Tara can finish a job in 12 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Kavya can finish a job in 18 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Zoya works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  7. 7.Kabir can finish a job in 15 days and Dev in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Ishaan works twice as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  9. 9.Rohan works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  10. 10.Rahul can finish a job in 2 days and Sneha in 13 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 9 days and Dev in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Sneha and Arjun together finish a job in 8 days. Sneha alone takes 24 days. How many days would Arjun take alone?
  13. 13.Zoya can finish a job in 7 days and Dev in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Saanvi can finish a job in 6 days and Meera in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Ishaan and Rahul together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Rahul take alone?
  16. 16.Farhan can finish a job in 12 days and Ananya in 6 days. Farhan works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  17. 17.Dev can finish a job in 8 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Vivaan and Ananya together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Ananya take alone?
  19. 19.Aarav and Arjun together finish a job in 18 days. Aarav alone takes 27 days. How many days would Arjun take alone?
  20. 20.Isha works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  21. 21.Ananya can finish a job in 5 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Isha can finish a job in 13 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Diya can finish a job in 13 days and Rohan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Dev works twice as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  25. 25.Sneha can finish a job in 10 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Saanvi can finish a job in 20 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Saanvi works twice as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  28. 28.Farhan and Meera together finish a job in 8 days. Farhan alone takes 12 days. How many days would Meera take alone?
  29. 29.Priya can finish a job in 6 days and Aarav in 30 days. Priya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  30. 30.Karan can finish a job in 10 days and Arjun in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Ananya can finish a job in 11 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rahul can finish a job in 4 days and Rohan in 20 days. Rahul works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  33. 33.Vivaan works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  34. 34.Meera can finish a job in 17 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Saanvi can finish a job in 20 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. =
  36. 36.Aditya can finish a job in 10 days and Sneha in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Sneha works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
  38. 38.Sneha works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  39. 39.Priya can finish a job in 7 days and Dev in 21 days. Priya works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  40. 40.Vivaan can finish a job in 20 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 40
  2. 6
  3. 4
  4. 228/31
  5. 18/7
  6. 44
  7. 68/285
  8. 18
  9. 27
  10. 26/15
  11. 13/36
  12. 12
  13. 81/140
  14. 7/10
  15. 6
  16. 5
  17. 88/19
  18. 6
  19. 54
  20. 36
  21. 35/12
  22. 234/31
  23. 27/182
  24. 12
  25. 130/23
  26. 7/40
  27. 18
  28. 24
  29. 20
  30. 27/85
  31. 66/17
  32. 5
  33. 27
  34. 25/68
  35. 60/23
  36. 19/45
  37. 36
  38. 16
  39. 12
  40. 29/90

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