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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 491 · 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 can finish a job in 19 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Manav and Isha together finish a job in 2 days. Manav alone takes 4 days. How many days would Isha take alone?
  3. 3.Kavya can finish a job in 4 days and Aarav in 8 days. Kavya works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  4. 4.Aditya can finish a job in 15 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Farhan can finish a job in 12 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kavya can finish a job in 8 days and Pooja in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Dev works twice as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  8. 8.Aarav can finish a job in 15 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Kavya can finish a job in 12 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Sneha can finish a job in 16 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Rahul can finish a job in 20 days and Tara in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Ananya can finish a job in 10 days and Rohan in 15 days. Ananya works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  13. 13.Priya and Vivaan together finish a job in 5 days. Priya alone takes 6 days. How many days would Vivaan take alone?
  14. 14.Aarav can finish a job in 10 days and Pooja in 26 days. Aarav works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  15. 15.Isha can finish a job in 8 days and Karan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Kabir works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  17. 17.Diya can finish a job in 7 days and Karan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Karan can finish a job in 9 days and Sneha in 18 days. Karan works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
  19. 19.Arjun and Nisha together finish a job in 8 days. Arjun alone takes 10 days. How many days would Nisha take alone?
  20. 20.Zoya works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  21. 21.Pooja works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  22. 22.Zoya can finish a job in 18 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Ananya and Ishaan together finish a job in 4 days. Ananya alone takes 6 days. How many days would Ishaan take alone?
  24. 24.Manav can finish a job in 12 days and Meera in 16 days. Manav works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  25. 25.Diya can finish a job in 4 days and Farhan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Diya works twice as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  27. 27.Arjun works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  28. 28.Manav can finish a job in 4 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Diya can finish a job in 24 days and Farhan in 4 days. Diya works alone for 12 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  30. 30.Vivaan and Priya together finish a job in 18 days. Vivaan alone takes 27 days. How many days would Priya take alone?
  31. 31.Dev can finish a job in 20 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Rohan can finish a job in 16 days and Aditya in 30 days. Rohan works alone for 8 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  33. 33.Vivaan works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  34. 34.Karan can finish a job in 5 days and Kabir in 20 days. Karan works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  35. 35.Pooja works twice as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
  36. 36.Kabir works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  37. 37.Rahul can finish a job in 7 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aarav works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  39. 39.Rahul can finish a job in 15 days and Diya in 18 days. Rahul works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  40. 40.Ananya can finish a job in 16 days and Karan in 6 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 76/23
  2. 4
  3. 6
  4. 15/4
  5. 204/29
  6. 21/104
  7. 33
  8. 30/7
  9. 60/17
  10. 48/7
  11. 19/60
  12. 9
  13. 30
  14. 13
  15. 5/12
  16. 44
  17. 14/9
  18. 16
  19. 40
  20. 40
  21. 20
  22. 5/36
  23. 12
  24. 8
  25. 12/5
  26. 6
  27. 27
  28. 60/19
  29. 2
  30. 54
  31. 2/15
  32. 15
  33. 12
  34. 8
  35. 27
  36. 33
  37. 91/20
  38. 24
  39. 6
  40. 11/48

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