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Time and Work Worksheet

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

Answer key

  1. 104/21
  2. 15
  3. 28/11
  4. 40/13
  5. 6
  6. 6
  7. 6
  8. 10
  9. 15
  10. 12
  11. 12/7
  12. 3
  13. 7/24
  14. 3/2
  15. 48
  16. 90/23
  17. 12/5
  18. 9/28
  19. 8
  20. 204/29
  21. 18
  22. 30
  23. 30
  24. 84/19
  25. 24
  26. 16
  27. 4
  28. 108/323
  29. 18
  30. 23/126
  31. 24
  32. 11/24
  33. 90/221
  34. 4
  35. 84/13
  36. 9/20
  37. 25/114
  38. 12
  39. 22/105
  40. 24/7

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