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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 209 · 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.Tara works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
  2. 2.Arjun works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  3. 3.Kabir and Rohan together finish a job in 7 days. Kabir alone takes 8 days. How many days would Rohan take alone?
  4. 4.Karan can finish a job in 12 days and Zoya in 20 days. Karan works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  5. 5.Priya can finish a job in 4 days and Manav in 24 days. Priya works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  6. 6.Ananya can finish a job in 8 days and Aditya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Zoya and Priya together finish a job in 12 days. Zoya alone takes 28 days. How many days would Priya take alone?
  8. 8.Isha can finish a job in 5 days and Aditya in 20 days. Isha works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  9. 9.Rahul works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  10. 10.Vivaan can finish a job in 7 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Pooja works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  12. 12.Ishaan can finish a job in 14 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Farhan can finish a job in 4 days and Priya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Zoya can finish a job in 10 days and Ananya in 30 days. Zoya works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  15. 15.Diya and Manav together finish a job in 5 days. Diya alone takes 10 days. How many days would Manav take alone?
  16. 16.Sneha can finish a job in 20 days and Kavya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Kabir and Diya together finish a job in 6 days. Kabir alone takes 18 days. How many days would Diya take alone?
  18. 18.Dev can finish a job in 4 days and Zoya in 24 days. Dev works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  19. 19.Kabir and Zoya together finish a job in 8 days. Kabir alone takes 10 days. How many days would Zoya take alone?
  20. 20.Farhan can finish a job in 4 days and Tara in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Aditya can finish a job in 3 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Ananya can finish a job in 20 days and Manav in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Nisha can finish a job in 10 days and Saanvi in 25 days. Nisha works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  24. 24.Rohan can finish a job in 7 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Aditya and Vivaan together finish a job in 7 days. Aditya alone takes 8 days. How many days would Vivaan take alone?
  26. 26.Ananya can finish a job in 10 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. =
  27. 27.Pooja can finish a job in 4 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Kavya and Aarav together finish a job in 12 days. Kavya alone takes 15 days. How many days would Aarav take alone?
  29. 29.Dev can finish a job in 6 days and Ananya in 22 days. Dev works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  30. 30.Isha works twice as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  31. 31.Rahul can finish a job in 16 days and Diya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Rahul can finish a job in 11 days and Priya in 22 days. Rahul works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  33. 33.Karan can finish a job in 11 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Ishaan works twice as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  35. 35.Kavya can finish a job in 18 days and Rahul in 8 days. Kavya works alone for 9 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  36. 36.Vivaan can finish a job in 13 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. =
  37. 37.Pooja and Diya together finish a job in 15 days. Pooja alone takes 18 days. How many days would Diya take alone?
  38. 38.Arjun can finish a job in 26 days and Aditya in 13 days. Arjun works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  39. 39.Priya can finish a job in 15 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. =
  40. 40.Rahul and Aditya together finish a job in 2 days. Rahul alone takes 3 days. How many days would Aditya take alone?

Answer key

  1. 36
  2. 9
  3. 56
  4. 15
  5. 18
  6. 88/19
  7. 21
  8. 12
  9. 12
  10. 48/119
  11. 9
  12. 35/6
  13. 11/18
  14. 21
  15. 10
  16. 111/340
  17. 9
  18. 12
  19. 40
  20. 4/3
  21. 42/17
  22. 111/340
  23. 5
  24. 12/35
  25. 56
  26. 30/13
  27. 16/5
  28. 60
  29. 11
  30. 12
  31. 29/208
  32. 12
  33. 33/14
  34. 18
  35. 4
  36. 65/18
  37. 90
  38. 12
  39. 210/29
  40. 6

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