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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 335 · 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 and Meera together finish a job in 4 days. Arjun alone takes 8 days. How many days would Meera take alone?
  2. 2.Isha can finish a job in 9 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Meera can finish a job in 8 days and Saanvi in 4 days. Meera works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  4. 4.Rahul can finish a job in 4 days and Nisha in 16 days. Rahul works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  5. 5.Vivaan and Arjun together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Arjun take alone?
  6. 6.Ananya can finish a job in 13 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Priya can finish a job in 6 days and Rahul in 18 days. Priya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  8. 8.Rohan can finish a job in 7 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Karan and Meera together finish a job in 2 days. Karan alone takes 6 days. How many days would Meera take alone?
  10. 10.Karan and Diya together finish a job in 4 days. Karan alone takes 5 days. How many days would Diya take alone?
  11. 11.Sneha can finish a job in 5 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Dev can finish a job in 9 days and Isha in 30 days. Dev works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  13. 13.Arjun works three times as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  14. 14.Kavya and Sneha together finish a job in 8 days. Kavya alone takes 9 days. How many days would Sneha take alone?
  15. 15.Diya can finish a job in 5 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Meera can finish a job in 8 days and Diya in 20 days. Meera works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  17. 17.Farhan and Zoya together finish a job in 3 days. Farhan alone takes 6 days. How many days would Zoya take alone?
  18. 18.Ishaan works twice as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  19. 19.Rahul can finish a job in 30 days and Ishaan in 6 days. Rahul works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  20. 20.Aarav can finish a job in 8 days and Dev in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Kabir can finish a job in 7 days and Aditya in 14 days. Kabir works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  22. 22.Diya can finish a job in 6 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kabir and Sneha together finish a job in 4 days. Kabir alone takes 5 days. How many days would Sneha take alone?
  24. 24.Ishaan can finish a job in 15 days and Aditya in 30 days. Ishaan works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  25. 25.Kavya can finish a job in 6 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Farhan can finish a job in 14 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Kabir can finish a job in 4 days and Karan in 24 days. Kabir works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  28. 28.Arjun can finish a job in 15 days and Nisha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Farhan can finish a job in 8 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Isha can finish a job in 4 days and Rahul in 24 days. Isha works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  31. 31.Meera can finish a job in 4 days and Arjun in 24 days. Meera works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  32. 32.Farhan can finish a job in 4 days and Manav in 8 days. Farhan works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  33. 33.Priya can finish a job in 4 days and Tara in 24 days. Priya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  34. 34.Rahul can finish a job in 7 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Rohan and Meera together finish a job in 2 days. Rohan alone takes 3 days. How many days would Meera take alone?
  36. 36.Manav works twice as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  37. 37.Zoya can finish a job in 10 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rohan can finish a job in 11 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan can finish a job in 21 days and Farhan in 15 days. Karan works alone for 14 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  40. 40.Aarav and Kabir together finish a job in 6 days. Aarav alone takes 7 days. How many days would Kabir take alone?

Answer key

  1. 8
  2. 36/13
  3. 3
  4. 12
  5. 12
  6. 143/24
  7. 12
  8. 16/63
  9. 3
  10. 20
  11. 36/65
  12. 20
  13. 28
  14. 72
  15. 17/30
  16. 5
  17. 6
  18. 30
  19. 4
  20. 19/44
  21. 12
  22. 42/13
  23. 20
  24. 20
  25. 15/4
  26. 29/70
  27. 18
  28. 210/29
  29. 8/3
  30. 18
  31. 12
  32. 2
  33. 12
  34. 119/24
  35. 6
  36. 9
  37. 130/23
  38. 99/20
  39. 5
  40. 42

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