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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 295 · 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.Farhan works twice as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  2. 2.Rahul works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  3. 3.Tara can finish a job in 14 days and Karan in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Kavya can finish a job in 6 days and Priya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Aarav can finish a job in 14 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Nisha can finish a job in 18 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Rohan can finish a job in 6 days and Meera in 12 days. Rohan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  8. 8.Vivaan works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  9. 9.Arjun works three times as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
  10. 10.Isha works twice as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  11. 11.Priya can finish a job in 5 days and Rahul in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Arjun can finish a job in 7 days and Saanvi in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Sneha works twice as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
  14. 14.Sneha can finish a job in 16 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Pooja works three times as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  16. 16.Rohan and Karan together finish a job in 2 days. Rohan alone takes 3 days. How many days would Karan take alone?
  17. 17.Pooja and Nisha together finish a job in 15 days. Pooja alone takes 20 days. How many days would Nisha take alone?
  18. 18.Dev can finish a job in 15 days and Vivaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Vivaan can finish a job in 6 days and Karan in 30 days. Vivaan works alone for 5 days and then stops. Karan finishes the rest. How many days does Karan take?
  20. 20.Pooja and Farhan together finish a job in 3 days. Pooja alone takes 4 days. How many days would Farhan take alone?
  21. 21.Meera can finish a job in 16 days and Zoya in 28 days. Meera works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  22. 22.Zoya can finish a job in 18 days and Rahul in 22 days. Zoya works alone for 9 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Priya works three times as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  24. 24.Saanvi can finish a job in 26 days and Ishaan in 12 days. Saanvi works alone for 13 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  25. 25.Saanvi and Ananya together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Ananya take alone?
  26. 26.Priya works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  27. 27.Pooja can finish a job in 7 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Meera and Arjun together finish a job in 2 days. Meera alone takes 4 days. How many days would Arjun take alone?
  29. 29.Diya can finish a job in 13 days and Rohan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Ananya can finish a job in 10 days and Farhan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Aarav works three times as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  32. 32.Zoya can finish a job in 10 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Aarav can finish a job in 16 days and Nisha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Ananya can finish a job in 24 days and Isha in 6 days. Ananya works alone for 8 days and then stops. Isha finishes the rest. How many days does Isha take?
  35. 35.Karan can finish a job in 18 days and Tara in 27 days. Karan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  36. 36.Arjun can finish a job in 15 days and Nisha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Aarav can finish a job in 3 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Vivaan can finish a job in 5 days and Ananya in 15 days. Vivaan works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  39. 39.Diya can finish a job in 4 days and Kabir in 28 days. Diya works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  40. 40.Aditya can finish a job in 10 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 33
  2. 40
  3. 75/154
  4. 2/3
  5. 25/77
  6. 31/234
  7. 8
  8. 15
  9. 28
  10. 9
  11. 30/11
  12. 126/25
  13. 9
  14. 21/80
  15. 24
  16. 6
  17. 60
  18. 195/28
  19. 5
  20. 12
  21. 21
  22. 11
  23. 48
  24. 6
  25. 3
  26. 16
  27. 11/28
  28. 4
  29. 31/234
  30. 90/19
  31. 48
  32. 170/27
  33. 48/7
  34. 4
  35. 21
  36. 22/105
  37. 15/8
  38. 3
  39. 21
  40. 87/190

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