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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 499 · 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.Ananya can finish a job in 20 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Aditya can finish a job in 20 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Nisha can finish a job in 4 days and Zoya in 10 days. Nisha works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  4. 4.Zoya can finish a job in 10 days and Pooja in 8 days. Zoya works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  5. 5.Pooja works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  6. 6.Meera can finish a job in 14 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya can finish a job in 6 days and Meera in 12 days. Diya works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  8. 8.Zoya can finish a job in 10 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Isha can finish a job in 4 days and Karan in 30 days. Isha works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  10. 10.Arjun can finish a job in 19 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ishaan can finish a job in 15 days and Isha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya can finish a job in 2 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Rohan works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  14. 14.Zoya can finish a job in 6 days and Aarav in 22 days. Zoya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  15. 15.Diya can finish a job in 6 days and Dev in 18 days. Diya works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  16. 16.Aditya can finish a job in 5 days and Rohan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Rohan can finish a job in 18 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aditya works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  19. 19.Farhan can finish a job in 6 days and Kavya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Aditya works three times as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  21. 21.Priya and Dev together finish a job in 2 days. Priya alone takes 3 days. How many days would Dev take alone?
  22. 22.Pooja works three times as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
  23. 23.Arjun can finish a job in 5 days and Aarav in 25 days. Arjun works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  24. 24.Kavya can finish a job in 8 days and Dev in 14 days. Kavya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  25. 25.Nisha can finish a job in 9 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Vivaan and Ishaan together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Ishaan take alone?
  27. 27.Karan and Saanvi together finish a job in 2 days. Karan alone takes 4 days. How many days would Saanvi take alone?
  28. 28.Aditya can finish a job in 8 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kabir can finish a job in 15 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Vivaan can finish a job in 5 days and Rohan in 20 days. Vivaan works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  31. 31.Diya can finish a job in 14 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. =
  32. 32.Ananya can finish a job in 15 days and Kavya in 30 days. Ananya works alone for 9 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  33. 33.Diya and Kabir together finish a job in 3 days. Diya alone takes 6 days. How many days would Kabir take alone?
  34. 34.Aarav can finish a job in 21 days and Vivaan in 14 days. Aarav works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  35. 35.Rohan works three times as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
  36. 36.Arjun can finish a job in 11 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kavya works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  38. 38.Diya can finish a job in 14 days and Tara in 28 days. Diya works alone for 9 days and then stops. Tara finishes the rest. How many days does Tara take?
  39. 39.Diya can finish a job in 12 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Tara can finish a job in 13 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 4
  2. 20/3
  3. 5
  4. 4
  5. 9
  6. 70/19
  7. 8
  8. 81/170
  9. 15
  10. 95/24
  11. 5/2
  12. 38/21
  13. 24
  14. 11
  15. 15
  16. 39/40
  17. 90/23
  18. 36
  19. 102/23
  20. 44
  21. 6
  22. 8
  23. 20
  24. 7
  25. 29/60
  26. 20
  27. 4
  28. 8/3
  29. 210/29
  30. 4
  31. 14/3
  32. 12
  33. 6
  34. 10
  35. 48
  36. 110/21
  37. 12
  38. 10
  39. 29/102
  40. 21/52

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