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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 458 · 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.Kavya and Ananya together finish a job in 4 days. Kavya alone takes 5 days. How many days would Ananya take alone?
  2. 2.Farhan works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  3. 3.Aarav and Ishaan together finish a job in 10 days. Aarav alone takes 12 days. How many days would Ishaan take alone?
  4. 4.Rohan and Isha together finish a job in 15 days. Rohan alone takes 18 days. How many days would Isha take alone?
  5. 5.Ananya and Vivaan together finish a job in 5 days. Ananya alone takes 6 days. How many days would Vivaan take alone?
  6. 6.Diya and Rahul together finish a job in 2 days. Diya alone takes 3 days. How many days would Rahul take alone?
  7. 7.Meera can finish a job in 14 days and Isha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Pooja can finish a job in 14 days and Saanvi in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Meera can finish a job in 20 days and Diya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Manav works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  11. 11.Kabir can finish a job in 15 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Dev works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  13. 13.Meera and Karan together finish a job in 8 days. Meera alone takes 10 days. How many days would Karan take alone?
  14. 14.Ananya can finish a job in 3 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Ananya and Rohan together finish a job in 8 days. Ananya alone takes 16 days. How many days would Rohan take alone?
  16. 16.Kavya can finish a job in 12 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kavya works twice as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
  18. 18.Aarav works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  19. 19.Vivaan can finish a job in 6 days and Zoya in 30 days. Vivaan works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  20. 20.Dev can finish a job in 20 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Arjun can finish a job in 8 days and Tara in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Saanvi can finish a job in 7 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Farhan can finish a job in 5 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Manav can finish a job in 10 days and Rahul in 5 days. Manav works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  25. 25.Farhan can finish a job in 3 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Pooja can finish a job in 17 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Ishaan works three times as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  28. 28.Diya can finish a job in 4 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Ananya works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  30. 30.Isha can finish a job in 7 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun works three times as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
  32. 32.Pooja can finish a job in 19 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Aarav works twice as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
  34. 34.Tara can finish a job in 20 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Manav can finish a job in 6 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Diya and Tara together finish a job in 4 days. Diya alone takes 5 days. How many days would Tara take alone?
  37. 37.Ishaan can finish a job in 14 days and Tara in 24 days. Ishaan works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Kabir and Meera together finish a job in 3 days. Kabir alone takes 4 days. How many days would Meera take alone?
  39. 39.Pooja can finish a job in 14 days and Karan in 16 days. Pooja works alone for 7 days and then stops. Karan finishes the rest. How many days does Karan take?
  40. 40.Zoya works three times as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?

Answer key

  1. 20
  2. 40
  3. 60
  4. 90
  5. 30
  6. 6
  7. 57/70
  8. 15/56
  9. 4/15
  10. 36
  11. 60/7
  12. 12
  13. 40
  14. 2
  15. 16
  16. 132/23
  17. 21
  18. 8
  19. 15
  20. 39/380
  21. 19/88
  22. 21/10
  23. 40/13
  24. 2
  25. 15/8
  26. 48/119
  27. 20
  28. 19/20
  29. 6
  30. 126/25
  31. 36
  32. 28/57
  33. 36
  34. 27/80
  35. 18/5
  36. 20
  37. 12
  38. 12
  39. 8
  40. 12

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