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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 472 · 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.Vivaan and Saanvi together finish a job in 7 days. Vivaan alone takes 8 days. How many days would Saanvi take alone?
  2. 2.Kabir works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  3. 3.Karan works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  4. 4.Aarav can finish a job in 17 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ananya and Manav together finish a job in 2 days. Ananya alone takes 6 days. How many days would Manav take alone?
  6. 6.Rahul can finish a job in 8 days and Kavya in 4 days. Rahul works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  7. 7.Kabir works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  8. 8.Ananya can finish a job in 3 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Isha works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  10. 10.Farhan can finish a job in 5 days and Tara in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Tara and Rahul together finish a job in 5 days. Tara alone takes 6 days. How many days would Rahul take alone?
  12. 12.Farhan can finish a job in 4 days and Tara in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Isha can finish a job in 3 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Isha can finish a job in 8 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Aditya and Vivaan together finish a job in 14 days. Aditya alone takes 21 days. How many days would Vivaan take alone?
  16. 16.Karan and Pooja together finish a job in 5 days. Karan alone takes 6 days. How many days would Pooja take alone?
  17. 17.Isha can finish a job in 6 days and Pooja in 24 days. Isha works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  18. 18.Pooja can finish a job in 11 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Dev can finish a job in 12 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Meera can finish a job in 14 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ananya can finish a job in 10 days and Priya in 25 days. Ananya works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  22. 22.Tara can finish a job in 12 days and Diya in 28 days. Tara works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  23. 23.Vivaan and Ishaan together finish a job in 9 days. Vivaan alone takes 18 days. How many days would Ishaan take alone?
  24. 24.Saanvi works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  25. 25.Kavya can finish a job in 10 days and Aditya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Isha works twice as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  27. 27.Saanvi can finish a job in 16 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Vivaan and Isha together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Isha take alone?
  29. 29.Ishaan can finish a job in 20 days and Aarav in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Nisha and Ishaan together finish a job in 2 days. Nisha alone takes 4 days. How many days would Ishaan take alone?
  31. 31.Tara and Rohan together finish a job in 2 days. Tara alone takes 4 days. How many days would Rohan take alone?
  32. 32.Sneha can finish a job in 10 days and Zoya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Arjun can finish a job in 20 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Rohan can finish a job in 10 days and Aarav in 26 days. Rohan works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  35. 35.Farhan can finish a job in 8 days and Dev in 16 days. Farhan works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  36. 36.Pooja works twice as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  37. 37.Ananya works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  38. 38.Karan and Pooja together finish a job in 6 days. Karan alone takes 12 days. How many days would Pooja take alone?
  39. 39.Karan and Rahul together finish a job in 2 days. Karan alone takes 3 days. How many days would Rahul take alone?
  40. 40.Priya can finish a job in 7 days and Rahul in 10 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 56
  2. 12
  3. 8
  4. 51/20
  5. 3
  6. 2
  7. 27
  8. 24/11
  9. 18
  10. 13/40
  11. 30
  12. 19/30
  13. 15/8
  14. 24/11
  15. 42
  16. 30
  17. 8
  18. 63/110
  19. 29/204
  20. 56/11
  21. 20
  22. 21
  23. 18
  24. 36
  25. 11/20
  26. 9
  27. 16/9
  28. 6
  29. 27/70
  30. 4
  31. 4
  32. 6
  33. 1/4
  34. 13
  35. 2
  36. 15
  37. 36
  38. 12
  39. 6
  40. 51/70

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