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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 177 · 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.Zoya works three times as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  2. 2.Karan can finish a job in 8 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Kabir and Karan together finish a job in 3 days. Kabir alone takes 6 days. How many days would Karan take alone?
  4. 4.Saanvi and Isha together finish a job in 5 days. Saanvi alone takes 10 days. How many days would Isha take alone?
  5. 5.Manav and Saanvi together finish a job in 2 days. Manav alone takes 4 days. How many days would Saanvi take alone?
  6. 6.Vivaan can finish a job in 14 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Meera works three times as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  8. 8.Karan can finish a job in 19 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Sneha can finish a job in 6 days and Meera in 15 days. Sneha works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  10. 10.Zoya can finish a job in 8 days and Priya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Kavya and Aarav together finish a job in 4 days. Kavya alone takes 12 days. How many days would Aarav take alone?
  12. 12.Diya can finish a job in 15 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. =
  13. 13.Sneha works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  14. 14.Ishaan can finish a job in 13 days and Karan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Aditya can finish a job in 10 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. =
  16. 16.Tara can finish a job in 12 days and Arjun in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Arjun and Tara together finish a job in 7 days. Arjun alone takes 8 days. How many days would Tara take alone?
  18. 18.Ananya can finish a job in 14 days and Saanvi in 28 days. Ananya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  19. 19.Manav can finish a job in 5 days and Ananya in 10 days. Manav works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  20. 20.Ananya and Karan together finish a job in 10 days. Ananya alone takes 14 days. How many days would Karan take alone?
  21. 21.Dev can finish a job in 4 days and Rahul in 24 days. Dev works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  22. 22.Tara can finish a job in 13 days and Priya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Aditya and Karan together finish a job in 3 days. Aditya alone takes 6 days. How many days would Karan take alone?
  24. 24.Vivaan can finish a job in 5 days and Karan in 15 days. Vivaan works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  25. 25.Priya works twice as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  26. 26.Priya can finish a job in 8 days and Kabir in 30 days. Priya works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  27. 27.Rohan and Arjun together finish a job in 2 days. Rohan alone takes 4 days. How many days would Arjun take alone?
  28. 28.Kabir can finish a job in 30 days and Ananya in 10 days. Kabir works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  29. 29.Zoya can finish a job in 10 days and Tara in 6 days. Zoya works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  30. 30.Diya can finish a job in 4 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ananya can finish a job in 15 days and Aditya in 30 days. Ananya works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  32. 32.Ananya can finish a job in 16 days and Vivaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Manav can finish a job in 8 days and Diya in 24 days. Manav works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  34. 34.Aarav and Kabir together finish a job in 2 days. Aarav alone takes 3 days. How many days would Kabir take alone?
  35. 35.Arjun can finish a job in 5 days and Ananya in 20 days. Arjun works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  36. 36.Arjun works three times as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  37. 37.Farhan works twice as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
  38. 38.Priya and Aditya together finish a job in 2 days. Priya alone takes 3 days. How many days would Aditya take alone?
  39. 39.Priya can finish a job in 17 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Farhan and Aditya together finish a job in 6 days. Farhan alone takes 7 days. How many days would Aditya take alone?

Answer key

  1. 28
  2. 11/56
  3. 6
  4. 10
  5. 4
  6. 12/35
  7. 16
  8. 72/323
  9. 10
  10. 7/40
  11. 6
  12. 210/29
  13. 48
  14. 87/208
  15. 45/7
  16. 31/114
  17. 56
  18. 22
  19. 4
  20. 35
  21. 6
  22. 27/91
  23. 6
  24. 9
  25. 33
  26. 15
  27. 4
  28. 9
  29. 3
  30. 12/7
  31. 12
  32. 272/33
  33. 21
  34. 6
  35. 4
  36. 24
  37. 33
  38. 6
  39. 68/21
  40. 42

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