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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 61 · 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.Meera works three times as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  2. 2.Manav can finish a job in 5 days and Rohan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Saanvi can finish a job in 13 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Saanvi works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  5. 5.Dev can finish a job in 24 days and Aarav in 18 days. Dev works alone for 12 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  6. 6.Tara can finish a job in 11 days and Meera in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Diya and Vivaan together finish a job in 2 days. Diya alone takes 3 days. How many days would Vivaan take alone?
  8. 8.Ishaan works twice as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
  9. 9.Karan can finish a job in 8 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. =
  10. 10.Aarav works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  11. 11.Rahul and Sneha together finish a job in 12 days. Rahul alone takes 30 days. How many days would Sneha take alone?
  12. 12.Kavya can finish a job in 5 days and Sneha in 25 days. Kavya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  13. 13.Rahul and Pooja together finish a job in 2 days. Rahul alone takes 3 days. How many days would Pooja take alone?
  14. 14.Sneha works twice as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  15. 15.Rahul can finish a job in 26 days and Kabir in 10 days. Rahul works alone for 13 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  16. 16.Saanvi can finish a job in 4 days and Aarav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Aditya and Sneha together finish a job in 2 days. Aditya alone takes 3 days. How many days would Sneha take alone?
  18. 18.Rahul can finish a job in 10 days and Priya in 20 days. Rahul works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  19. 19.Vivaan works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  20. 20.Dev can finish a job in 30 days and Arjun in 18 days. Dev works alone for 25 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  21. 21.Vivaan can finish a job in 27 days and Ishaan in 12 days. Vivaan works alone for 9 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  22. 22.Nisha and Kabir together finish a job in 5 days. Nisha alone takes 6 days. How many days would Kabir take alone?
  23. 23.Karan works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  24. 24.Manav can finish a job in 15 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Priya can finish a job in 16 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Diya can finish a job in 15 days and Nisha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Farhan can finish a job in 9 days and Manav in 18 days. Farhan works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  28. 28.Pooja can finish a job in 15 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Priya works twice as fast as Sneha. Together they finish a job in 7 days. How many days would Sneha take alone?
  30. 30.Sneha can finish a job in 19 days and Kavya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Vivaan can finish a job in 14 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Zoya can finish a job in 17 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Zoya and Aarav together finish a job in 7 days. Zoya alone takes 8 days. How many days would Aarav take alone?
  34. 34.Rahul and Pooja together finish a job in 6 days. Rahul alone takes 7 days. How many days would Pooja take alone?
  35. 35.Arjun and Vivaan together finish a job in 4 days. Arjun alone takes 5 days. How many days would Vivaan take alone?
  36. 36.Ishaan can finish a job in 12 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Saanvi works twice as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  38. 38.Nisha can finish a job in 20 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Saanvi can finish a job in 24 days and Dev in 30 days. Saanvi works alone for 16 days and then stops. Dev finishes the rest. How many days does Dev take?
  40. 40.Aarav can finish a job in 9 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 40
  2. 90/23
  3. 33/260
  4. 27
  5. 9
  6. 56/187
  7. 6
  8. 30
  9. 56/11
  10. 18
  11. 20
  12. 15
  13. 6
  14. 24
  15. 5
  16. 10/3
  17. 6
  18. 18
  19. 28
  20. 3
  21. 8
  22. 30
  23. 18
  24. 15/4
  25. 80/21
  26. 31/80
  27. 12
  28. 7/15
  29. 21
  30. 304/35
  31. 56/11
  32. 272/33
  33. 56
  34. 42
  35. 20
  36. 24/5
  37. 9
  38. 111/340
  39. 10
  40. 18/5

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