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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 168 · 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.Meera can finish a job in 17 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. =
  2. 2.Aarav can finish a job in 8 days and Aditya in 28 days. Aarav works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  3. 3.Rohan 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. =
  4. 4.Arjun can finish a job in 10 days and Isha in 20 days. Arjun works alone for 8 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Tara works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  6. 6.Dev works three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  7. 7.Rohan can finish a job in 9 days and Manav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Pooja works three times as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  9. 9.Saanvi can finish a job in 11 days and Dev in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Priya and Aditya together finish a job in 8 days. Priya alone takes 9 days. How many days would Aditya take alone?
  11. 11.Meera can finish a job in 11 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Isha works three times as fast as Dev. Together they finish a job in 10 days. How many days would Dev take alone?
  13. 13.Saanvi can finish a job in 4 days and Vivaan in 8 days. Saanvi works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  14. 14.Meera works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  15. 15.Meera 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? =
  16. 16.Isha works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  17. 17.Farhan and Rohan together finish a job in 6 days. Farhan alone takes 9 days. How many days would Rohan take alone?
  18. 18.Vivaan and Sneha together finish a job in 4 days. Vivaan alone takes 20 days. How many days would Sneha take alone?
  19. 19.Saanvi and Aarav together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Aarav take alone?
  20. 20.Karan can finish a job in 12 days and Zoya in 30 days. Karan works alone for 10 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  21. 21.Arjun can finish a job in 13 days and Pooja in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rahul works three times as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  23. 23.Nisha can finish a job in 20 days and Manav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Sneha works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  25. 25.Karan works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  26. 26.Rohan works three times as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  27. 27.Isha works twice as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  28. 28.Sneha and Meera together finish a job in 2 days. Sneha alone takes 3 days. How many days would Meera take alone?
  29. 29.Nisha can finish a job in 17 days and Karan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Sneha can finish a job in 5 days and Ishaan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Zoya can finish a job in 10 days and Isha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Rahul can finish a job in 15 days and Ishaan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Zoya can finish a job in 4 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. =
  34. 34.Aditya can finish a job in 11 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Manav works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  36. 36.Sneha can finish a job in 11 days and Dev in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Karan and Rahul together finish a job in 2 days. Karan alone takes 4 days. How many days would Rahul take alone?
  38. 38.Tara can finish a job in 4 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kavya can finish a job in 20 days and Manav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Rahul can finish a job in 8 days and Pooja in 24 days. Rahul works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?

Answer key

  1. 153/26
  2. 14
  3. 45/8
  4. 4
  5. 30
  6. 8
  7. 18/11
  8. 44
  9. 29/198
  10. 72
  11. 44/15
  12. 40
  13. 6
  14. 30
  15. 27/70
  16. 15
  17. 18
  18. 5
  19. 6
  20. 5
  21. 195/28
  22. 20
  23. 3/5
  24. 33
  25. 40
  26. 24
  27. 36
  28. 6
  29. 255/32
  30. 1/4
  31. 21/55
  32. 28/65
  33. 20/9
  34. 88/19
  35. 9
  36. 36/77
  37. 4
  38. 28/11
  39. 9/80
  40. 3

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