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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 227 · 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.Aditya can finish a job in 8 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Ananya can finish a job in 18 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. =
  3. 3.Priya works three times as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  4. 4.Zoya can finish a job in 24 days and Saanvi in 12 days. Zoya works alone for 20 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  5. 5.Kabir works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  6. 6.Ishaan can finish a job in 6 days and Tara in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Priya and Aarav together finish a job in 12 days. Priya alone takes 18 days. How many days would Aarav take alone?
  8. 8.Nisha can finish a job in 5 days and Diya in 15 days. Nisha works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  9. 9.Diya can finish a job in 14 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Aarav can finish a job in 6 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Arjun and Aarav together finish a job in 2 days. Arjun alone takes 6 days. How many days would Aarav take alone?
  12. 12.Pooja works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  13. 13.Nisha can finish a job in 19 days and Dev in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Rahul can finish a job in 4 days and Rohan in 12 days. Rahul works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  15. 15.Tara and Ishaan together finish a job in 2 days. Tara alone takes 6 days. How many days would Ishaan take alone?
  16. 16.Aarav works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  17. 17.Nisha and Kavya together finish a job in 4 days. Nisha alone takes 5 days. How many days would Kavya take alone?
  18. 18.Saanvi can finish a job in 4 days and Priya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Diya and Tara together finish a job in 4 days. Diya alone takes 5 days. How many days would Tara take alone?
  20. 20.Diya and Farhan together finish a job in 12 days. Diya alone takes 21 days. How many days would Farhan take alone?
  21. 21.Saanvi can finish a job in 10 days and Tara in 30 days. Saanvi works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
  22. 22.Manav can finish a job in 18 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Rahul can finish a job in 24 days and Ishaan in 28 days. Rahul works alone for 18 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  24. 24.Ishaan works three times as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  25. 25.Aditya can finish a job in 9 days and Nisha in 12 days. Aditya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  26. 26.Isha can finish a job in 5 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Meera and Ishaan together finish a job in 3 days. Meera alone takes 4 days. How many days would Ishaan take alone?
  28. 28.Nisha works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
  29. 29.Sneha can finish a job in 14 days and Tara in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Saanvi works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  31. 31.Farhan can finish a job in 14 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Isha and Kabir together finish a job in 5 days. Isha alone takes 6 days. How many days would Kabir take alone?
  33. 33.Manav can finish a job in 6 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Aarav works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  35. 35.Tara and Rohan together finish a job in 2 days. Tara alone takes 6 days. How many days would Rohan take alone?
  36. 36.Manav works twice as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
  37. 37.Pooja can finish a job in 19 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. =
  38. 38.Meera works three times as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
  39. 39.Saanvi can finish a job in 14 days and Aarav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Sneha works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?

Answer key

  1. 23/60
  2. 45/7
  3. 32
  4. 2
  5. 32
  6. 5/21
  7. 36
  8. 3
  9. 31/238
  10. 48/11
  11. 3
  12. 24
  13. 72/95
  14. 9
  15. 3
  16. 44
  17. 20
  18. 9/20
  19. 20
  20. 28
  21. 12
  22. 31/117
  23. 7
  24. 32
  25. 8
  26. 10/3
  27. 12
  28. 36
  29. 126/23
  30. 33
  31. 13/84
  32. 30
  33. 23/102
  34. 15
  35. 3
  36. 21
  37. 76/23
  38. 32
  39. 3/14
  40. 12

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