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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 324 · 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 works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  2. 2.Meera can finish a job in 10 days and Dev in 15 days. Meera works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Pooja can finish a job in 20 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Meera and Isha together finish a job in 3 days. Meera alone takes 4 days. How many days would Isha take alone?
  5. 5.Nisha and Sneha together finish a job in 9 days. Nisha alone takes 18 days. How many days would Sneha take alone?
  6. 6.Aditya can finish a job in 12 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Kabir can finish a job in 5 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Rahul can finish a job in 18 days and Farhan in 24 days. Rahul works alone for 12 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  9. 9.Karan works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  10. 10.Nisha and Meera together finish a job in 2 days. Nisha alone takes 3 days. How many days would Meera take alone?
  11. 11.Kavya works three times as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  12. 12.Zoya can finish a job in 14 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Dev can finish a job in 15 days and Meera in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Isha can finish a job in 5 days and Aditya in 25 days. Isha works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  15. 15.Tara works three times as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  16. 16.Isha can finish a job in 11 days and Farhan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Arjun can finish a job in 7 days and Sneha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Aarav and Diya together finish a job in 2 days. Aarav alone takes 4 days. How many days would Diya take alone?
  19. 19.Priya can finish a job in 15 days and Pooja in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Kabir and Nisha together finish a job in 2 days. Kabir alone takes 3 days. How many days would Nisha take alone?
  21. 21.Isha can finish a job in 18 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  23. 23.Rahul can finish a job in 27 days and Farhan in 18 days. Rahul works alone for 21 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  24. 24.Tara and Rohan together finish a job in 3 days. Tara alone takes 4 days. How many days would Rohan take alone?
  25. 25.Nisha and Karan together finish a job in 9 days. Nisha alone takes 18 days. How many days would Karan take alone?
  26. 26.Sneha and Diya together finish a job in 2 days. Sneha alone takes 3 days. How many days would Diya take alone?
  27. 27.Nisha can finish a job in 10 days and Zoya in 20 days. Nisha works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Meera can finish a job in 9 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Karan can finish a job in 3 days and Zoya in 18 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 16 days and Aditya in 8 days. Karan works alone for 10 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  31. 31.Farhan can finish a job in 4 days and Kavya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Pooja works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  33. 33.Aditya and Kabir together finish a job in 6 days. Aditya alone takes 8 days. How many days would Kabir take alone?
  34. 34.Rahul can finish a job in 6 days and Vivaan in 30 days. Rahul works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  35. 35.Ishaan can finish a job in 10 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  37. 37.Pooja works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  38. 38.Kabir works twice as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  39. 39.Ishaan can finish a job in 20 days and Pooja in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Diya and Meera together finish a job in 2 days. Diya alone takes 4 days. How many days would Meera take alone?

Answer key

  1. 24
  2. 6
  3. 15/2
  4. 12
  5. 18
  6. 3
  7. 10/7
  8. 8
  9. 36
  10. 6
  11. 20
  12. 6/35
  13. 28/195
  14. 20
  15. 44
  16. 36/77
  17. 22/105
  18. 4
  19. 4/15
  20. 6
  21. 126/25
  22. 16
  23. 4
  24. 12
  25. 18
  26. 6
  27. 18
  28. 45/14
  29. 18/7
  30. 3
  31. 20/7
  32. 33
  33. 24
  34. 5
  35. 10/3
  36. 28
  37. 48
  38. 30
  39. 40/7
  40. 4

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