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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 387 · 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 and Isha together finish a job in 5 days. Meera alone takes 10 days. How many days would Isha take alone?
  2. 2.Dev can finish a job in 5 days and Aditya in 15 days. Dev works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  3. 3.Tara works three times as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
  4. 4.Isha and Karan together finish a job in 6 days. Isha alone takes 10 days. How many days would Karan take alone?
  5. 5.Rahul can finish a job in 12 days and Kavya in 24 days. Rahul works alone for 5 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  6. 6.Manav can finish a job in 14 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Ishaan can finish a job in 12 days and Tara in 27 days. Ishaan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  8. 8.Saanvi works twice as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  9. 9.Rohan can finish a job in 17 days and Dev in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Manav works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  11. 11.Rohan can finish a job in 9 days and Arjun in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Ananya can finish a job in 8 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Aditya can finish a job in 2 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Diya can finish a job in 20 days and Saanvi in 5 days. Diya works alone for 12 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  15. 15.Tara can finish a job in 19 days and Saanvi in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Arjun and Farhan together finish a job in 2 days. Arjun alone takes 3 days. How many days would Farhan take alone?
  17. 17.Karan and Nisha together finish a job in 6 days. Karan alone takes 12 days. How many days would Nisha take alone?
  18. 18.Manav works twice as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  19. 19.Diya can finish a job in 10 days and Saanvi in 20 days. Diya works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  20. 20.Ananya can finish a job in 16 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Aditya can finish a job in 19 days and Diya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Meera and Diya together finish a job in 2 days. Meera alone takes 3 days. How many days would Diya take alone?
  23. 23.Nisha and Arjun together finish a job in 7 days. Nisha alone takes 8 days. How many days would Arjun take alone?
  24. 24.Kavya and Ishaan together finish a job in 5 days. Kavya alone takes 6 days. How many days would Ishaan take alone?
  25. 25.Ananya can finish a job in 2 days and Kavya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rohan works three times as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  27. 27.Arjun can finish a job in 20 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Karan and Priya together finish a job in 3 days. Karan alone takes 6 days. How many days would Priya take alone?
  29. 29.Diya can finish a job in 9 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Ananya can finish a job in 10 days and Kabir in 9 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 15 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Manav can finish a job in 3 days and Meera in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Karan works three times as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  34. 34.Vivaan and Kavya together finish a job in 8 days. Vivaan alone takes 16 days. How many days would Kavya take alone?
  35. 35.Priya can finish a job in 4 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. =
  36. 36.Ishaan can finish a job in 15 days and Zoya in 9 days. Ishaan works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  37. 37.Manav works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  38. 38.Meera can finish a job in 18 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Manav works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  40. 40.Aditya and Meera together finish a job in 3 days. Aditya alone takes 4 days. How many days would Meera take alone?

Answer key

  1. 10
  2. 9
  3. 20
  4. 15
  5. 14
  6. 81/182
  7. 18
  8. 36
  9. 25/136
  10. 28
  11. 19/90
  12. 7/8
  13. 7/4
  14. 2
  15. 342/37
  16. 6
  17. 12
  18. 12
  19. 4
  20. 16/5
  21. 48/95
  22. 6
  23. 56
  24. 30
  25. 34/19
  26. 24
  27. 10/3
  28. 6
  29. 18/11
  30. 90/19
  31. 15/4
  32. 60/23
  33. 40
  34. 16
  35. 12/5
  36. 6
  37. 33
  38. 1/2
  39. 15
  40. 12

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