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Time and Work Worksheet

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

Answer key

  1. 48/7
  2. 29/104
  3. 90/23
  4. 36/5
  5. 14
  6. 16
  7. 6
  8. 14/9
  9. 11
  10. 22/13
  11. 20
  12. 9
  13. 6
  14. 33
  15. 102/23
  16. 72/13
  17. 6
  18. 17/24
  19. 12
  20. 4
  21. 11
  22. 10
  23. 63/8
  24. 15/4
  25. 4
  26. 6
  27. 99/260
  28. 10
  29. 4
  30. 33
  31. 70/19
  32. 6
  33. 34/19
  34. 7/48
  35. 12
  36. 9
  37. 18
  38. 20/7
  39. 22/13
  40. 3/2

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