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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 355 · 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.Aditya can finish a job in 18 days and Dev in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kabir can finish a job in 6 days and Priya in 30 days. Kabir works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  3. 3.Sneha and Pooja together finish a job in 8 days. Sneha alone takes 16 days. How many days would Pooja take alone?
  4. 4.Rohan can finish a job in 14 days and Nisha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya works three times as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
  6. 6.Meera works twice as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  7. 7.Manav works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  8. 8.Rohan and Rahul together finish a job in 7 days. Rohan alone takes 8 days. How many days would Rahul take alone?
  9. 9.Meera can finish a job in 16 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. =
  10. 10.Meera can finish a job in 10 days and Isha in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Dev and Aarav together finish a job in 2 days. Dev alone takes 3 days. How many days would Aarav take alone?
  12. 12.Saanvi and Isha together finish a job in 3 days. Saanvi alone takes 4 days. How many days would Isha take alone?
  13. 13.Dev works twice as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  14. 14.Priya and Dev together finish a job in 5 days. Priya alone takes 10 days. How many days would Dev take alone?
  15. 15.Ishaan can finish a job in 10 days and Rohan in 12 days. Ishaan works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  16. 16.Dev works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  17. 17.Saanvi can finish a job in 16 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Rahul can finish a job in 13 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Karan can finish a job in 4 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Diya can finish a job in 4 days and Meera in 24 days. Diya works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  21. 21.Vivaan can finish a job in 9 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan and Diya together finish a job in 2 days. Farhan alone takes 4 days. How many days would Diya take alone?
  23. 23.Arjun can finish a job in 7 days and Ishaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ananya can finish a job in 17 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Diya works three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
  26. 26.Farhan and Ishaan together finish a job in 2 days. Farhan alone takes 3 days. How many days would Ishaan take alone?
  27. 27.Pooja can finish a job in 4 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Vivaan can finish a job in 7 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Priya can finish a job in 4 days and Rahul in 6 days. Priya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  30. 30.Farhan works twice as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  31. 31.Isha can finish a job in 8 days and Rohan in 24 days. Isha works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  32. 32.Dev can finish a job in 3 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Priya can finish a job in 8 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan and Manav together finish a job in 2 days. Rohan alone takes 3 days. How many days would Manav take alone?
  35. 35.Sneha can finish a job in 16 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Dev and Priya together finish a job in 6 days. Dev alone takes 8 days. How many days would Priya take alone?
  37. 37.Sneha works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  38. 38.Meera can finish a job in 5 days and Isha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Kavya works three times as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  40. 40.Arjun can finish a job in 4 days and Priya in 12 days. Arjun works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?

Answer key

  1. 6
  2. 10
  3. 16
  4. 126/23
  5. 48
  6. 36
  7. 36
  8. 56
  9. 272/33
  10. 7/45
  11. 6
  12. 12
  13. 6
  14. 10
  15. 6
  16. 27
  17. 16/5
  18. 65/18
  19. 4/3
  20. 18
  21. 126/23
  22. 4
  23. 126/25
  24. 85/22
  25. 48
  26. 6
  27. 28/11
  28. 3/14
  29. 3
  30. 15
  31. 6
  32. 24/11
  33. 56/11
  34. 6
  35. 17/144
  36. 24
  37. 30
  38. 36/65
  39. 40
  40. 9

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