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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 152 · 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 works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  2. 2.Priya can finish a job in 16 days and Pooja in 4 days. Priya works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  3. 3.Saanvi can finish a job in 3 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. =
  4. 4.Kabir works three times as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  5. 5.Priya can finish a job in 11 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Saanvi can finish a job in 14 days and Aarav in 7 days. Saanvi works alone for 10 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  7. 7.Rohan can finish a job in 16 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Farhan and Karan together finish a job in 2 days. Farhan alone takes 3 days. How many days would Karan take alone?
  9. 9.Aditya can finish a job in 12 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kabir can finish a job in 9 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  12. 12.Kabir can finish a job in 2 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.Saanvi can finish a job in 9 days and Meera in 15 days. Saanvi works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  14. 14.Rahul can finish a job in 12 days and Karan in 28 days. Rahul works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  15. 15.Vivaan and Sneha together finish a job in 4 days. Vivaan alone takes 8 days. How many days would Sneha take alone?
  16. 16.Kavya and Rohan together finish a job in 5 days. Kavya alone takes 6 days. How many days would Rohan take alone?
  17. 17.Aarav can finish a job in 7 days and Diya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Kabir works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  19. 19.Kabir and Arjun together finish a job in 7 days. Kabir alone takes 14 days. How many days would Arjun take alone?
  20. 20.Manav can finish a job in 4 days and Arjun in 20 days. Manav works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  21. 21.Arjun can finish a job in 19 days and Priya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Diya can finish a job in 11 days and Zoya in 22 days. Diya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  23. 23.Farhan and Karan together finish a job in 6 days. Farhan alone takes 12 days. How many days would Karan take alone?
  24. 24.Kabir works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  25. 25.Dev can finish a job in 4 days and Priya in 12 days. Dev works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  26. 26.Diya and Isha together finish a job in 2 days. Diya alone takes 3 days. How many days would Isha take alone?
  27. 27.Nisha can finish a job in 13 days and Sneha in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Zoya can finish a job in 25 days and Tara in 30 days. Zoya works alone for 15 days and then stops. Tara finishes the rest. How many days does Tara take?
  29. 29.Ananya works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  30. 30.Nisha and Arjun together finish a job in 2 days. Nisha alone takes 4 days. How many days would Arjun take alone?
  31. 31.Tara works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  32. 32.Ishaan can finish a job in 13 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Pooja works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  34. 34.Aarav and Ishaan together finish a job in 3 days. Aarav alone takes 12 days. How many days would Ishaan take alone?
  35. 35.Aarav works twice as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
  36. 36.Farhan can finish a job in 19 days and Priya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Dev can finish a job in 21 days and Nisha in 6 days. Dev works alone for 14 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  38. 38.Kabir can finish a job in 22 days and Farhan in 11 days. Kabir works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  39. 39.Meera can finish a job in 5 days and Nisha in 20 days. Meera works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  40. 40.Rahul can finish a job in 13 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 16
  2. 3
  3. 33/14
  4. 12
  5. 26/165
  6. 2
  7. 80/13
  8. 6
  9. 228/31
  10. 18/11
  11. 12
  12. 5/3
  13. 10
  14. 21
  15. 8
  16. 30
  17. 16/63
  18. 15
  19. 14
  20. 15
  21. 35/304
  22. 12
  23. 12
  24. 12
  25. 9
  26. 6
  27. 25/156
  28. 12
  29. 24
  30. 4
  31. 16
  32. 260/33
  33. 12
  34. 4
  35. 24
  36. 266/33
  37. 2
  38. 7
  39. 16
  40. 31/117

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