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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 308 · 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.Ishaan and Isha together finish a job in 4 days. Ishaan alone takes 8 days. How many days would Isha take alone?
  2. 2.Aarav can finish a job in 13 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rohan works three times as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  4. 4.Pooja works twice as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  5. 5.Sneha can finish a job in 8 days and Pooja in 4 days. Sneha works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  6. 6.Aditya can finish a job in 9 days and Isha in 30 days. Aditya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  7. 7.Manav can finish a job in 12 days and Meera in 24 days. Manav works alone for 8 days and then stops. Meera finishes the rest. How many days does Meera take?
  8. 8.Dev and Isha together finish a job in 8 days. Dev alone takes 10 days. How many days would Isha take alone?
  9. 9.Saanvi works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  10. 10.Ananya works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  11. 11.Rohan and Aarav together finish a job in 18 days. Rohan alone takes 30 days. How many days would Aarav take alone?
  12. 12.Rohan can finish a job in 16 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Tara can finish a job in 18 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Vivaan can finish a job in 5 days and Zoya in 10 days. Vivaan works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  15. 15.Pooja and Rohan together finish a job in 3 days. Pooja alone takes 4 days. How many days would Rohan take alone?
  16. 16.Karan can finish a job in 13 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kavya can finish a job in 5 days and Dev in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Meera and Dev together finish a job in 12 days. Meera alone takes 24 days. How many days would Dev take alone?
  19. 19.Vivaan can finish a job in 6 days and Ananya in 26 days. Vivaan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  20. 20.Farhan can finish a job in 16 days and Priya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Kabir can finish a job in 15 days and Isha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Meera can finish a job in 4 days and Kabir in 24 days. Meera works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  23. 23.Diya can finish a job in 4 days and Isha in 12 days. Diya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  24. 24.Meera can finish a job in 12 days and Aarav in 24 days. Meera works alone for 9 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  25. 25.Farhan can finish a job in 7 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Aarav can finish a job in 5 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Meera can finish a job in 20 days and Aarav in 15 days. Meera works alone for 16 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  28. 28.Ishaan and Rahul together finish a job in 11 days. Ishaan alone takes 22 days. How many days would Rahul take alone?
  29. 29.Manav works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  30. 30.Zoya and Meera together finish a job in 15 days. Zoya alone takes 20 days. How many days would Meera take alone?
  31. 31.Priya and Saanvi together finish a job in 2 days. Priya alone takes 3 days. How many days would Saanvi take alone?
  32. 32.Dev and Priya together finish a job in 2 days. Dev alone takes 3 days. How many days would Priya take alone?
  33. 33.Kabir works three times as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  34. 34.Zoya can finish a job in 8 days and Diya in 24 days. Zoya works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  35. 35.Aditya can finish a job in 8 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Nisha can finish a job in 10 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Zoya works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
  38. 38.Kabir can finish a job in 13 days and Vivaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Tara can finish a job in 22 days and Arjun in 24 days. Tara works alone for 11 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  40. 40.Diya works three times as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?

Answer key

  1. 8
  2. 91/20
  3. 12
  4. 30
  5. 3
  6. 20
  7. 8
  8. 40
  9. 32
  10. 33
  11. 45
  12. 112/15
  13. 13/24
  14. 4
  15. 12
  16. 260/33
  17. 12/35
  18. 24
  19. 13
  20. 3/16
  21. 19/30
  22. 12
  23. 3
  24. 6
  25. 52/133
  26. 36/65
  27. 3
  28. 22
  29. 8
  30. 60
  31. 6
  32. 6
  33. 24
  34. 18
  35. 13/72
  36. 1/6
  37. 27
  38. 91/20
  39. 12
  40. 24

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