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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 466 · 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 and Karan together finish a job in 3 days. Ananya alone takes 4 days. How many days would Karan take alone?
  2. 2.Diya can finish a job in 7 days and Tara in 28 days. Diya works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  3. 3.Rahul can finish a job in 18 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Sneha can finish a job in 3 days and Pooja in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ishaan can finish a job in 16 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Farhan and Karan together finish a job in 3 days. Farhan alone takes 4 days. How many days would Karan take alone?
  7. 7.Diya works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  8. 8.Dev can finish a job in 19 days and Isha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Aditya 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. =
  10. 10.Pooja works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  11. 11.Aditya can finish a job in 16 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ishaan works three times as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  13. 13.Kabir can finish a job in 14 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Aarav can finish a job in 9 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Sneha can finish a job in 10 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Arjun can finish a job in 13 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Saanvi works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  18. 18.Ishaan can finish a job in 16 days and Tara in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Isha can finish a job in 19 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Vivaan can finish a job in 30 days and Rohan in 20 days. Vivaan works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  21. 21.Aarav works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  22. 22.Ananya can finish a job in 6 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. =
  23. 23.Pooja can finish a job in 17 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Diya and Saanvi together finish a job in 2 days. Diya alone takes 4 days. How many days would Saanvi take alone?
  25. 25.Ananya can finish a job in 6 days and Aditya in 27 days. Ananya works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  26. 26.Isha can finish a job in 27 days and Manav in 18 days. Isha works alone for 24 days and then stops. Manav finishes the rest. How many days does Manav take?
  27. 27.Kabir can finish a job in 17 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Tara and Karan together finish a job in 2 days. Tara alone takes 3 days. How many days would Karan take alone?
  29. 29.Diya can finish a job in 4 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rahul can finish a job in 15 days and Tara in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rohan and Ishaan together finish a job in 8 days. Rohan alone takes 16 days. How many days would Ishaan take alone?
  32. 32.Farhan can finish a job in 16 days and Vivaan in 10 days. Farhan works alone for 8 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  33. 33.Sneha works three times as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  34. 34.Arjun and Aarav together finish a job in 2 days. Arjun alone takes 3 days. How many days would Aarav take alone?
  35. 35.Diya can finish a job in 13 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Priya can finish a job in 3 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Tara can finish a job in 20 days and Ananya in 10 days. Tara works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  38. 38.Saanvi can finish a job in 17 days and Sneha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan and Priya together finish a job in 12 days. Karan alone takes 16 days. How many days would Priya take alone?
  40. 40.Ishaan works three times as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?

Answer key

  1. 12
  2. 16
  3. 198/29
  4. 48/19
  5. 144/17
  6. 12
  7. 12
  8. 28/57
  9. 126/25
  10. 16
  11. 16/5
  12. 44
  13. 21/5
  14. 45/8
  15. 9/40
  16. 78/19
  17. 27
  18. 13/40
  19. 72/323
  20. 10
  21. 21
  22. 21/5
  23. 102/23
  24. 4
  25. 18
  26. 2
  27. 102/23
  28. 6
  29. 12/7
  30. 3/20
  31. 16
  32. 5
  33. 24
  34. 6
  35. 26/15
  36. 5/2
  37. 5
  38. 340/37
  39. 48
  40. 40

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