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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 365 · 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.Diya can finish a job in 21 days and Nisha in 27 days. Diya works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  2. 2.Rahul can finish a job in 9 days and Dev in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Ishaan can finish a job in 10 days and Arjun in 15 days. Ishaan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  4. 4.Diya can finish a job in 17 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. =
  5. 5.Sneha and Aditya together finish a job in 6 days. Sneha alone takes 10 days. How many days would Aditya take alone?
  6. 6.Diya works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  7. 7.Isha and Saanvi together finish a job in 2 days. Isha alone takes 4 days. How many days would Saanvi take alone?
  8. 8.Rahul can finish a job in 8 days and Vivaan in 28 days. Rahul works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  9. 9.Nisha can finish a job in 19 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Priya works twice as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  11. 11.Aarav and Meera together finish a job in 5 days. Aarav alone takes 10 days. How many days would Meera take alone?
  12. 12.Karan works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  13. 13.Arjun can finish a job in 5 days and Diya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Ananya can finish a job in 20 days and Sneha in 12 days. Ananya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  15. 15.Rohan can finish a job in 8 days and Ishaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Priya can finish a job in 16 days and Vivaan in 24 days. Priya works alone for 8 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  17. 17.Kabir can finish a job in 18 days and Saanvi in 6 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 4 days and Vivaan in 12 days. Karan works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  19. 19.Ishaan can finish a job in 16 days and Dev in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Dev and Manav together finish a job in 9 days. Dev alone takes 18 days. How many days would Manav take alone?
  21. 21.Ananya can finish a job in 13 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Sneha can finish a job in 8 days and Dev in 16 days. Sneha works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  23. 23.Tara can finish a job in 5 days and Priya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Kabir can finish a job in 3 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Meera and Ananya together finish a job in 3 days. Meera alone takes 6 days. How many days would Ananya take alone?
  26. 26.Ananya can finish a job in 14 days and Zoya in 21 days. Ananya works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  27. 27.Aditya can finish a job in 15 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Isha can finish a job in 17 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Meera works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  30. 30.Rohan can finish a job in 10 days and Nisha in 20 days. Rohan works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  31. 31.Aditya can finish a job in 20 days and Zoya in 24 days. Aditya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  32. 32.Kavya and Priya together finish a job in 7 days. Kavya alone takes 14 days. How many days would Priya take alone?
  33. 33.Meera works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  34. 34.Ananya and Rohan together finish a job in 13 days. Ananya alone takes 26 days. How many days would Rohan take alone?
  35. 35.Meera can finish a job in 13 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Kabir can finish a job in 7 days and Farhan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Priya can finish a job in 18 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Saanvi works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  39. 39.Farhan works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  40. 40.Karan can finish a job in 16 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 18
  2. 26/153
  3. 12
  4. 306/35
  5. 15
  6. 24
  7. 4
  8. 14
  9. 133/26
  10. 21
  11. 10
  12. 36
  13. 1/2
  14. 9
  15. 40/13
  16. 12
  17. 9/2
  18. 3
  19. 112/15
  20. 18
  21. 26/15
  22. 8
  23. 1/2
  24. 18/7
  25. 6
  26. 12
  27. 60/7
  28. 35/306
  29. 36
  30. 12
  31. 18
  32. 14
  33. 36
  34. 26
  35. 17/26
  36. 22/105
  37. 342/37
  38. 28
  39. 12
  40. 27/176

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