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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 476 · 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.Priya works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  2. 2.Kavya can finish a job in 7 days and Dev in 21 days. Kavya works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Pooja can finish a job in 19 days and Ananya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Aarav works three times as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
  5. 5.Meera and Karan together finish a job in 6 days. Meera alone takes 7 days. How many days would Karan take alone?
  6. 6.Aditya works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  7. 7.Arjun can finish a job in 7 days and Karan in 21 days. Arjun works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  8. 8.Sneha works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  9. 9.Ananya can finish a job in 24 days and Priya in 16 days. Ananya works alone for 21 days and then stops. Priya finishes the rest. How many days does Priya take?
  10. 10.Zoya can finish a job in 19 days and Arjun in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Ishaan can finish a job in 10 days and Karan in 20 days. Ishaan works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  12. 12.Kabir and Tara together finish a job in 6 days. Kabir alone takes 12 days. How many days would Tara take alone?
  13. 13.Nisha can finish a job in 5 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Kavya and Ishaan together finish a job in 12 days. Kavya alone takes 21 days. How many days would Ishaan take alone?
  15. 15.Nisha can finish a job in 14 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Ananya can finish a job in 8 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Karan works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  18. 18.Aarav can finish a job in 12 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Kabir works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  20. 20.Zoya can finish a job in 7 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ishaan works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  22. 22.Ishaan can finish a job in 6 days and Saanvi in 27 days. Ishaan works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  23. 23.Ishaan can finish a job in 30 days and Tara in 20 days. Ishaan works alone for 24 days and then stops. Tara finishes the rest. How many days does Tara take?
  24. 24.Ishaan works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  25. 25.Isha works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  26. 26.Kabir can finish a job in 16 days and Dev in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Rohan can finish a job in 6 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Priya can finish a job in 5 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ananya can finish a job in 12 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Karan can finish a job in 6 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav and Ishaan together finish a job in 9 days. Manav alone takes 18 days. How many days would Ishaan take alone?
  32. 32.Farhan works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  33. 33.Sneha can finish a job in 14 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Karan works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  35. 35.Manav can finish a job in 13 days and Ishaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Sneha and Manav together finish a job in 13 days. Sneha alone takes 26 days. How many days would Manav take alone?
  37. 37.Saanvi works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  38. 38.Dev can finish a job in 17 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Priya works three times as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  40. 40.Ananya and Farhan together finish a job in 5 days. Ananya alone takes 6 days. How many days would Farhan take alone?

Answer key

  1. 24
  2. 15
  3. 39/380
  4. 20
  5. 42
  6. 36
  7. 3
  8. 36
  9. 2
  10. 29/190
  11. 4
  12. 12
  13. 85/22
  14. 28
  15. 11/56
  16. 8/5
  17. 33
  18. 13/84
  19. 6
  20. 21/10
  21. 9
  22. 18
  23. 4
  24. 12
  25. 44
  26. 5/16
  27. 19/26
  28. 55/16
  29. 15/2
  30. 2
  31. 18
  32. 8
  33. 35/6
  34. 9
  35. 247/32
  36. 26
  37. 33
  38. 21/68
  39. 28
  40. 30

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