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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 143 · 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.Zoya and Meera together finish a job in 3 days. Zoya alone takes 4 days. How many days would Meera take alone?
  2. 2.Kavya can finish a job in 4 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. =
  3. 3.Arjun works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  4. 4.Karan and Meera together finish a job in 7 days. Karan alone takes 14 days. How many days would Meera take alone?
  5. 5.Aarav can finish a job in 9 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Priya and Nisha together finish a job in 4 days. Priya alone takes 6 days. How many days would Nisha take alone?
  7. 7.Aditya can finish a job in 4 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Sneha works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  9. 9.Rohan can finish a job in 18 days and Tara in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Sneha and Zoya together finish a job in 3 days. Sneha alone takes 12 days. How many days would Zoya take alone?
  11. 11.Vivaan can finish a job in 8 days and Arjun in 4 days. Vivaan works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Nisha can finish a job in 7 days and Priya in 28 days. Nisha works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  13. 13.Meera can finish a job in 4 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Saanvi and Vivaan together finish a job in 10 days. Saanvi alone takes 15 days. How many days would Vivaan take alone?
  15. 15.Aditya works twice as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  16. 16.Diya and Aarav together finish a job in 2 days. Diya alone takes 3 days. How many days would Aarav take alone?
  17. 17.Kabir can finish a job in 19 days and Aditya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Zoya and Tara together finish a job in 10 days. Zoya alone takes 14 days. How many days would Tara take alone?
  19. 19.Tara can finish a job in 8 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Nisha works three times as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  21. 21.Priya and Rohan together finish a job in 7 days. Priya alone takes 8 days. How many days would Rohan take alone?
  22. 22.Zoya can finish a job in 30 days and Dev in 25 days. Zoya works alone for 24 days and then stops. Dev finishes the rest. How many days does Dev take?
  23. 23.Arjun can finish a job in 13 days and Tara in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Isha works three times as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  25. 25.Ishaan and Dev together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Dev take alone?
  26. 26.Manav can finish a job in 8 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Kabir and Ishaan together finish a job in 2 days. Kabir alone takes 4 days. How many days would Ishaan take alone?
  28. 28.Ananya can finish a job in 13 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Vivaan can finish a job in 12 days and Manav in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Priya can finish a job in 15 days and Sneha in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Tara and Aditya together finish a job in 5 days. Tara alone takes 6 days. How many days would Aditya take alone?
  32. 32.Priya works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  33. 33.Zoya and Manav together finish a job in 4 days. Zoya alone takes 5 days. How many days would Manav take alone?
  34. 34.Zoya and Pooja together finish a job in 6 days. Zoya alone takes 12 days. How many days would Pooja take alone?
  35. 35.Rohan can finish a job in 6 days and Sneha in 14 days. Rohan works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  36. 36.Tara can finish a job in 10 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Meera can finish a job in 20 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Nisha and Aditya together finish a job in 6 days. Nisha alone takes 7 days. How many days would Aditya take alone?
  39. 39.Pooja can finish a job in 9 days and Karan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Tara works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?

Answer key

  1. 12
  2. 20/7
  3. 18
  4. 14
  5. 90/19
  6. 12
  7. 20/9
  8. 15
  9. 180/19
  10. 4
  11. 1
  12. 24
  13. 36/11
  14. 30
  15. 6
  16. 6
  17. 35/304
  18. 35
  19. 56/11
  20. 24
  21. 56
  22. 5
  23. 30/221
  24. 20
  25. 6
  26. 24/11
  27. 4
  28. 60/221
  29. 5/12
  30. 31/240
  31. 30
  32. 21
  33. 20
  34. 12
  35. 7
  36. 4/5
  37. 4
  38. 42
  39. 7/12
  40. 21

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