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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 246 · 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.Dev can finish a job in 19 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Dev and Ishaan together finish a job in 3 days. Dev alone takes 6 days. How many days would Ishaan take alone?
  3. 3.Priya works twice as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  4. 4.Rahul can finish a job in 9 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Isha and Nisha together finish a job in 2 days. Isha alone takes 4 days. How many days would Nisha take alone?
  6. 6.Kabir can finish a job in 8 days and Sneha in 16 days. Kabir works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  7. 7.Dev works three times as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  8. 8.Isha can finish a job in 6 days and Karan in 26 days. Isha works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  9. 9.Sneha can finish a job in 10 days and Arjun in 20 days. Sneha works alone for 9 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  10. 10.Farhan can finish a job in 10 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Priya and Ananya together finish a job in 3 days. Priya alone takes 4 days. How many days would Ananya take alone?
  12. 12.Rohan can finish a job in 6 days and Kabir in 27 days. Rohan works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  13. 13.Dev can finish a job in 2 days and Rahul in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Sneha can finish a job in 19 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Nisha can finish a job in 20 days and Diya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Tara works three times as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  17. 17.Tara can finish a job in 9 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Karan can finish a job in 13 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kabir works twice as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  20. 20.Aditya and Diya together finish a job in 2 days. Aditya alone takes 3 days. How many days would Diya take alone?
  21. 21.Aarav and Rahul together finish a job in 2 days. Aarav alone takes 4 days. How many days would Rahul take alone?
  22. 22.Arjun can finish a job in 8 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Aditya can finish a job in 9 days and Rohan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Zoya and Sneha together finish a job in 6 days. Zoya alone takes 8 days. How many days would Sneha take alone?
  25. 25.Saanvi works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  26. 26.Farhan can finish a job in 8 days and Tara in 18 days. Farhan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  27. 27.Arjun can finish a job in 10 days and Sneha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ananya can finish a job in 8 days and Farhan in 24 days. Ananya works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  29. 29.Aditya can finish a job in 8 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rohan can finish a job in 11 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Diya and Priya together finish a job in 9 days. Diya alone takes 18 days. How many days would Priya take alone?
  32. 32.Nisha works twice as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  33. 33.Priya can finish a job in 11 days and Rahul in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Ananya can finish a job in 12 days and Kabir in 9 days. Ananya works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  35. 35.Aarav can finish a job in 8 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Nisha can finish a job in 5 days and Priya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Sneha can finish a job in 24 days and Meera in 12 days. Sneha works alone for 14 days and then stops. Meera finishes the rest. How many days does Meera take?
  38. 38.Karan can finish a job in 5 days and Diya in 25 days. Karan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  39. 39.Karan can finish a job in 5 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Vivaan can finish a job in 20 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 72/95
  2. 6
  3. 18
  4. 18/11
  5. 4
  6. 10
  7. 48
  8. 13
  9. 2
  10. 90/19
  11. 12
  12. 9
  13. 20/11
  14. 76/23
  15. 39/380
  16. 16
  17. 5/6
  18. 234/31
  19. 15
  20. 6
  21. 4
  22. 104/21
  23. 126/23
  24. 24
  25. 18
  26. 9
  27. 40/9
  28. 9
  29. 8/3
  30. 54/77
  31. 18
  32. 9
  33. 24/143
  34. 6
  35. 19/88
  36. 1/2
  37. 5
  38. 15
  39. 24/95
  40. 10/3

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