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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 413 · 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.Pooja can finish a job in 13 days and Karan in 26 days. Pooja works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  2. 2.Priya works three times as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  3. 3.Pooja can finish a job in 10 days and Kabir in 30 days. Pooja works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Nisha works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  5. 5.Zoya can finish a job in 16 days and Ananya in 28 days. Zoya works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  6. 6.Aarav and Arjun together finish a job in 2 days. Aarav alone takes 3 days. How many days would Arjun take alone?
  7. 7.Tara works twice as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  8. 8.Rohan can finish a job in 12 days and Diya in 6 days. Rohan works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  9. 9.Rohan can finish a job in 14 days and Zoya in 28 days. Rohan works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  10. 10.Sneha can finish a job in 10 days and Kavya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Sneha can finish a job in 6 days and Manav in 12 days. Sneha works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  12. 12.Karan and Kabir together finish a job in 5 days. Karan alone takes 10 days. How many days would Kabir take alone?
  13. 13.Zoya and Arjun together finish a job in 18 days. Zoya alone takes 27 days. How many days would Arjun take alone?
  14. 14.Kavya and Pooja together finish a job in 3 days. Kavya alone takes 12 days. How many days would Pooja take alone?
  15. 15.Karan works three times as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  16. 16.Meera works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  17. 17.Kavya can finish a job in 4 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Meera can finish a job in 13 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Farhan and Karan together finish a job in 15 days. Farhan alone takes 20 days. How many days would Karan take alone?
  20. 20.Farhan works three times as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  21. 21.Ishaan and Arjun together finish a job in 4 days. Ishaan alone takes 8 days. How many days would Arjun take alone?
  22. 22.Aarav can finish a job in 13 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. =
  23. 23.Kabir can finish a job in 4 days and Isha in 28 days. Kabir works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  24. 24.Aarav can finish a job in 12 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. =
  25. 25.Aditya can finish a job in 24 days and Aarav in 6 days. Aditya works alone for 16 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  26. 26.Dev works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  27. 27.Rohan can finish a job in 11 days and Dev in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Rahul and Priya together finish a job in 3 days. Rahul alone takes 4 days. How many days would Priya take alone?
  29. 29.Pooja can finish a job in 3 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Manav can finish a job in 19 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Saanvi can finish a job in 5 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Dev works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  33. 33.Diya can finish a job in 20 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Manav and Kabir together finish a job in 3 days. Manav alone takes 4 days. How many days would Kabir take alone?
  35. 35.Diya can finish a job in 24 days and Farhan in 30 days. Diya works alone for 12 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  36. 36.Rohan can finish a job in 17 days and Aditya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Farhan can finish a job in 5 days and Pooja in 20 days. Farhan works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  38. 38.Diya works three times as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  39. 39.Rahul can finish a job in 18 days and Rohan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Nisha can finish a job in 5 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 24
  2. 48
  3. 18
  4. 6
  5. 14
  6. 6
  7. 27
  8. 3
  9. 26
  10. 19/30
  11. 8
  12. 10
  13. 54
  14. 4
  15. 48
  16. 15
  17. 5/6
  18. 182/27
  19. 60
  20. 28
  21. 8
  22. 78/19
  23. 7
  24. 60/17
  25. 2
  26. 21
  27. 15/22
  28. 12
  29. 12/5
  30. 304/35
  31. 95/24
  32. 15
  33. 180/29
  34. 12
  35. 15
  36. 340/37
  37. 8
  38. 24
  39. 18/7
  40. 44/85

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