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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 337 · 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.Kabir can finish a job in 2 days and Rahul in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara and Arjun together finish a job in 3 days. Tara alone takes 4 days. How many days would Arjun take alone?
  3. 3.Arjun works twice as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  4. 4.Nisha can finish a job in 7 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Priya can finish a job in 17 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Tara can finish a job in 9 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya can finish a job in 13 days and Tara in 26 days. Diya works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  8. 8.Karan works three times as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  9. 9.Zoya and Meera together finish a job in 2 days. Zoya alone takes 3 days. How many days would Meera take alone?
  10. 10.Ananya can finish a job in 3 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Aditya works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  12. 12.Nisha can finish a job in 4 days and Zoya in 24 days. Nisha works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  13. 13.Ishaan and Rohan together finish a job in 3 days. Ishaan alone takes 6 days. How many days would Rohan take alone?
  14. 14.Arjun can finish a job in 6 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Rohan can finish a job in 10 days and Saanvi in 25 days. Rohan works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  16. 16.Vivaan can finish a job in 11 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Sneha and Aarav together finish a job in 7 days. Sneha alone takes 14 days. How many days would Aarav take alone?
  18. 18.Isha can finish a job in 28 days and Priya in 24 days. Isha works alone for 21 days and then stops. Priya finishes the rest. How many days does Priya take?
  19. 19.Zoya can finish a job in 19 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Pooja can finish a job in 16 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Rahul can finish a job in 8 days and Karan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Diya and Rohan together finish a job in 5 days. Diya alone takes 6 days. How many days would Rohan take alone?
  23. 23.Rohan works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
  24. 24.Dev can finish a job in 8 days and Kabir in 4 days. Dev works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  25. 25.Tara and Isha together finish a job in 3 days. Tara alone takes 4 days. How many days would Isha take alone?
  26. 26.Isha and Rahul together finish a job in 2 days. Isha alone takes 3 days. How many days would Rahul take alone?
  27. 27.Kavya can finish a job in 15 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. =
  28. 28.Kabir can finish a job in 9 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Arjun and Nisha together finish a job in 4 days. Arjun alone takes 5 days. How many days would Nisha take alone?
  30. 30.Rohan and Manav together finish a job in 4 days. Rohan alone takes 6 days. How many days would Manav take alone?
  31. 31.Saanvi can finish a job in 5 days and Zoya in 15 days. Saanvi works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  32. 32.Tara works twice as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
  33. 33.Rahul and Aditya together finish a job in 2 days. Rahul alone takes 4 days. How many days would Aditya take alone?
  34. 34.Rohan can finish a job in 8 days and Diya in 24 days. Rohan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  35. 35.Kabir can finish a job in 18 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Sneha works three times as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  37. 37.Aarav can finish a job in 17 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. =
  38. 38.Farhan can finish a job in 5 days and Diya in 20 days. Farhan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  39. 39.Diya works three times as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
  40. 40.Vivaan and Karan together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Karan take alone?

Answer key

  1. 26/15
  2. 12
  3. 18
  4. 70/17
  5. 52/153
  6. 36/13
  7. 20
  8. 44
  9. 6
  10. 2
  11. 36
  12. 6
  13. 6
  14. 102/23
  15. 10
  16. 93/220
  17. 14
  18. 6
  19. 25/114
  20. 45/112
  21. 3/16
  22. 30
  23. 30
  24. 2
  25. 12
  26. 6
  27. 60/19
  28. 5/18
  29. 20
  30. 12
  31. 9
  32. 21
  33. 4
  34. 15
  35. 9/5
  36. 24
  37. 306/35
  38. 8
  39. 28
  40. 6

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