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Time and Work Worksheet

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

Answer key

  1. 9/4
  2. 2
  3. 12
  4. 22/35
  5. 60/221
  6. 18
  7. 15
  8. 27/170
  9. 13/72
  10. 12/7
  11. 90
  12. 5/12
  13. 6
  14. 21
  15. 15/56
  16. 6
  17. 6
  18. 40
  19. 12
  20. 42
  21. 20
  22. 20
  23. 48/119
  24. 24
  25. 60/7
  26. 24
  27. 3
  28. 40
  29. 20
  30. 10/3
  31. 44/85
  32. 6
  33. 12
  34. 285/34
  35. 23/126
  36. 80
  37. 44/15
  38. 20
  39. 30/11
  40. 48/19

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