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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 204 · 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.Manav can finish a job in 8 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Nisha can finish a job in 7 days and Zoya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Aarav can finish a job in 4 days and Manav in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Priya and Kabir together finish a job in 4 days. Priya alone takes 8 days. How many days would Kabir take alone?
  5. 5.Farhan and Arjun together finish a job in 2 days. Farhan alone takes 3 days. How many days would Arjun take alone?
  6. 6.Saanvi and Tara together finish a job in 18 days. Saanvi alone takes 24 days. How many days would Tara take alone?
  7. 7.Isha works three times as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  8. 8.Aarav can finish a job in 2 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ishaan can finish a job in 13 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Nisha can finish a job in 18 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha can finish a job in 6 days and Zoya in 10 days. Nisha works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  12. 12.Arjun can finish a job in 25 days and Karan in 20 days. Arjun works alone for 10 days and then stops. Karan finishes the rest. How many days does Karan take?
  13. 13.Farhan works twice as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  14. 14.Kabir can finish a job in 8 days and Arjun in 12 days. Kabir works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  15. 15.Karan and Farhan together finish a job in 9 days. Karan alone takes 12 days. How many days would Farhan take alone?
  16. 16.Kavya works twice as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
  17. 17.Rahul can finish a job in 8 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Vivaan can finish a job in 6 days and Zoya in 8 days. Vivaan works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  19. 19.Ananya can finish a job in 14 days and Manav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Kavya works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  21. 21.Saanvi works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  22. 22.Aditya can finish a job in 12 days and Pooja in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kavya can finish a job in 21 days and Meera in 7 days. Kavya works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  24. 24.Meera works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  25. 25.Meera can finish a job in 9 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Karan and Tara together finish a job in 6 days. Karan alone takes 8 days. How many days would Tara take alone?
  27. 27.Priya can finish a job in 15 days and Meera in 24 days. Priya works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
  28. 28.Aarav works three times as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  29. 29.Kavya can finish a job in 12 days and Meera in 18 days. Kavya works alone for 8 days and then stops. Meera finishes the rest. How many days does Meera take?
  30. 30.Rahul and Meera together finish a job in 2 days. Rahul alone takes 3 days. How many days would Meera take alone?
  31. 31.Dev can finish a job in 11 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Meera can finish a job in 4 days and Rahul in 20 days. Meera works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  33. 33.Manav can finish a job in 14 days and Dev in 28 days. Manav works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  34. 34.Pooja can finish a job in 18 days and Nisha in 9 days. Pooja works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  35. 35.Kabir can finish a job in 6 days and Sneha in 15 days. Kabir works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  36. 36.Rohan can finish a job in 16 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Rohan can finish a job in 22 days and Manav in 11 days. Rohan works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  38. 38.Kavya can finish a job in 4 days and Rohan in 28 days. Kavya works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  39. 39.Dev can finish a job in 16 days and Ishaan in 30 days. Dev works alone for 8 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  40. 40.Ananya can finish a job in 16 days and Aarav in 20 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 104/21
  2. 78/133
  3. 7/20
  4. 8
  5. 6
  6. 72
  7. 16
  8. 20/11
  9. 195/28
  10. 63/8
  11. 5
  12. 12
  13. 6
  14. 3
  15. 36
  16. 33
  17. 25/136
  18. 4
  19. 25/154
  20. 20
  21. 12
  22. 60/17
  23. 6
  24. 27
  25. 63/16
  26. 24
  27. 16
  28. 8
  29. 6
  30. 6
  31. 66/17
  32. 15
  33. 16
  34. 6
  35. 10
  36. 144/17
  37. 10
  38. 21
  39. 15
  40. 9/40

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