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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 457 · 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.Nisha and Karan together finish a job in 2 days. Nisha alone takes 4 days. How many days would Karan take alone?
  2. 2.Dev and Arjun together finish a job in 7 days. Dev alone takes 8 days. How many days would Arjun take alone?
  3. 3.Kavya works three times as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  4. 4.Nisha can finish a job in 6 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya and Ishaan together finish a job in 2 days. Diya alone takes 3 days. How many days would Ishaan take alone?
  6. 6.Isha works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  7. 7.Meera and Kabir together finish a job in 2 days. Meera alone takes 3 days. How many days would Kabir take alone?
  8. 8.Meera can finish a job in 4 days and Arjun in 16 days. Meera works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  9. 9.Tara can finish a job in 28 days and Karan in 7 days. Tara works alone for 12 days and then stops. Karan finishes the rest. How many days does Karan take?
  10. 10.Meera can finish a job in 4 days and Vivaan in 12 days. Meera works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  11. 11.Manav works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  12. 12.Farhan can finish a job in 15 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Pooja can finish a job in 17 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Arjun and Meera together finish a job in 5 days. Arjun alone takes 10 days. How many days would Meera take alone?
  15. 15.Meera can finish a job in 17 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Kavya and Rahul together finish a job in 15 days. Kavya alone takes 20 days. How many days would Rahul take alone?
  17. 17.Rohan can finish a job in 7 days and Tara in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Aditya can finish a job in 6 days and Dev in 9 days. Aditya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  19. 19.Kabir can finish a job in 18 days and Aarav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kabir works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  21. 21.Kabir and Rohan together finish a job in 7 days. Kabir alone takes 14 days. How many days would Rohan take alone?
  22. 22.Vivaan can finish a job in 8 days and Ishaan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Zoya can finish a job in 9 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kavya can finish a job in 2 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.Rohan works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  26. 26.Manav can finish a job in 20 days and Farhan in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Diya can finish a job in 5 days and Manav in 25 days. Diya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  28. 28.Aarav can finish a job in 6 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Isha works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  30. 30.Priya can finish a job in 20 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rohan can finish a job in 7 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Ananya works three times as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
  33. 33.Saanvi can finish a job in 10 days and Karan in 14 days. Saanvi works alone for 5 days and then stops. Karan finishes the rest. How many days does Karan take?
  34. 34.Kabir can finish a job in 28 days and Aarav in 14 days. Kabir works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  35. 35.Ananya can finish a job in 14 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Farhan and Pooja together finish a job in 10 days. Farhan alone takes 15 days. How many days would Pooja take alone?
  37. 37.Aditya works three times as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
  38. 38.Ishaan can finish a job in 4 days and Isha in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Kabir works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  40. 40.Manav can finish a job in 3 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 4
  2. 56
  3. 44
  4. 18/5
  5. 6
  6. 36
  7. 6
  8. 8
  9. 4
  10. 6
  11. 28
  12. 64/255
  13. 34/19
  14. 10
  15. 119/24
  16. 60
  17. 54/77
  18. 3
  19. 342/37
  20. 24
  21. 14
  22. 5/24
  23. 9/4
  24. 10/7
  25. 20
  26. 19/90
  27. 15
  28. 3/2
  29. 6
  30. 27/140
  31. 77/18
  32. 28
  33. 7
  34. 11
  35. 11/28
  36. 30
  37. 20
  38. 2/3
  39. 27
  40. 5/2

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