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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 397 · 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.Sneha can finish a job in 8 days and Ishaan in 18 days. Sneha works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  2. 2.Rohan works three times as fast as Dev. Together they finish a job in 10 days. How many days would Dev take alone?
  3. 3.Priya can finish a job in 14 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Arjun and Karan together finish a job in 6 days. Arjun alone takes 7 days. How many days would Karan take alone?
  5. 5.Priya and Pooja together finish a job in 9 days. Priya alone takes 18 days. How many days would Pooja take alone?
  6. 6.Sneha works three times as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  7. 7.Zoya can finish a job in 14 days and Karan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Rahul works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  9. 9.Zoya can finish a job in 6 days and Nisha in 8 days. Zoya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  10. 10.Aditya and Zoya together finish a job in 2 days. Aditya alone takes 3 days. How many days would Zoya take alone?
  11. 11.Arjun and Manav together finish a job in 18 days. Arjun alone takes 27 days. How many days would Manav take alone?
  12. 12.Karan can finish a job in 19 days and Manav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Nisha can finish a job in 17 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Farhan can finish a job in 21 days and Dev in 18 days. Farhan works alone for 14 days and then stops. Dev finishes the rest. How many days does Dev take?
  15. 15.Arjun can finish a job in 17 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Karan can finish a job in 10 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Farhan can finish a job in 15 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Meera can finish a job in 17 days and Dev in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Manav can finish a job in 3 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Farhan and Nisha together finish a job in 6 days. Farhan alone takes 8 days. How many days would Nisha take alone?
  21. 21.Priya can finish a job in 3 days and Rohan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  23. 23.Saanvi works three times as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  24. 24.Aarav works twice as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  25. 25.Ananya can finish a job in 7 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kabir can finish a job in 6 days and Pooja in 24 days. Kabir works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  27. 27.Priya can finish a job in 16 days and Tara in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Rahul can finish a job in 15 days and Diya in 30 days. Rahul works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  29. 29.Kavya can finish a job in 4 days and Pooja in 10 days. Kavya works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Ishaan can finish a job in 6 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ananya and Manav together finish a job in 4 days. Ananya alone takes 5 days. How many days would Manav take alone?
  32. 32.Diya and Rohan together finish a job in 3 days. Diya alone takes 6 days. How many days would Rohan take alone?
  33. 33.Kavya works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  34. 34.Tara can finish a job in 8 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Ishaan can finish a job in 5 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Dev and Aarav together finish a job in 3 days. Dev alone takes 4 days. How many days would Aarav take alone?
  37. 37.Dev can finish a job in 5 days and Isha in 10 days. Dev works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  38. 38.Aarav can finish a job in 27 days and Manav in 9 days. Aarav works alone for 12 days and then stops. Manav finishes the rest. How many days does Manav take?
  39. 39.Kabir can finish a job in 10 days and Ananya in 22 days. Kabir works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  40. 40.Karan works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?

Answer key

  1. 9
  2. 40
  3. 7/4
  4. 42
  5. 18
  6. 24
  7. 140/17
  8. 15
  9. 4
  10. 6
  11. 54
  12. 28/171
  13. 68/21
  14. 6
  15. 34/19
  16. 17/35
  17. 23/40
  18. 21/68
  19. 24/11
  20. 24
  21. 18/7
  22. 12
  23. 24
  24. 12
  25. 28/11
  26. 12
  27. 25/72
  28. 10
  29. 5
  30. 102/23
  31. 20
  32. 6
  33. 9
  34. 23/40
  35. 48/55
  36. 12
  37. 6
  38. 5
  39. 11
  40. 36

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