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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 122 · 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.Diya can finish a job in 12 days and Tara in 15 days. Diya works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  2. 2.Kavya works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
  3. 3.Saanvi and Pooja together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Pooja take alone?
  4. 4.Saanvi can finish a job in 13 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Saanvi can finish a job in 4 days and Aarav in 8 days. Saanvi works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  6. 6.Aarav can finish a job in 7 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Saanvi can finish a job in 7 days and Vivaan in 21 days. Saanvi works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  8. 8.Rohan can finish a job in 8 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. =
  9. 9.Rahul can finish a job in 10 days and Tara in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Sneha and Tara together finish a job in 4 days. Sneha alone takes 5 days. How many days would Tara take alone?
  11. 11.Pooja and Ishaan together finish a job in 6 days. Pooja alone takes 7 days. How many days would Ishaan take alone?
  12. 12.Arjun can finish a job in 16 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. =
  13. 13.Arjun and Aarav together finish a job in 2 days. Arjun alone takes 4 days. How many days would Aarav take alone?
  14. 14.Aarav can finish a job in 4 days and Pooja in 8 days. Aarav works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  15. 15.Farhan can finish a job in 7 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aditya can finish a job in 5 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Manav can finish a job in 5 days and Sneha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Ishaan can finish a job in 12 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Isha can finish a job in 2 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Zoya works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  21. 21.Pooja works twice as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
  22. 22.Farhan can finish a job in 9 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan and Priya together finish a job in 2 days. Rohan alone takes 3 days. How many days would Priya take alone?
  24. 24.Karan and Ishaan together finish a job in 6 days. Karan alone takes 15 days. How many days would Ishaan take alone?
  25. 25.Rohan and Dev together finish a job in 2 days. Rohan alone takes 6 days. How many days would Dev take alone?
  26. 26.Tara can finish a job in 6 days and Manav in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Tara can finish a job in 30 days and Vivaan in 27 days. Tara works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  28. 28.Dev can finish a job in 10 days and Ananya in 5 days. Dev works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  29. 29.Nisha and Isha together finish a job in 4 days. Nisha alone takes 6 days. How many days would Isha take alone?
  30. 30.Ananya can finish a job in 18 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Aditya can finish a job in 4 days and Kavya in 8 days. Aditya works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  32. 32.Zoya works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  33. 33.Rohan can finish a job in 10 days and Arjun in 20 days. Rohan works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  34. 34.Arjun can finish a job in 7 days and Vivaan in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Pooja can finish a job in 5 days and Saanvi in 15 days. Pooja works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  36. 36.Diya works three times as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  37. 37.Ananya can finish a job in 12 days and Tara in 4 days. Ananya works alone for 9 days and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Dev and Karan together finish a job in 2 days. Dev alone takes 4 days. How many days would Karan take alone?
  39. 39.Meera can finish a job in 7 days and Ishaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Zoya can finish a job in 28 days and Sneha in 14 days. Zoya works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?

Answer key

  1. 5
  2. 48
  3. 3
  4. 20/91
  5. 4
  6. 27/70
  7. 9
  8. 152/27
  9. 1/6
  10. 20
  11. 42
  12. 16/3
  13. 4
  14. 2
  15. 60/91
  16. 1/4
  17. 4/15
  18. 84/19
  19. 3/2
  20. 18
  21. 30
  22. 180/29
  23. 6
  24. 10
  25. 3
  26. 8/15
  27. 18
  28. 4
  29. 12
  30. 37/342
  31. 6
  32. 21
  33. 18
  34. 16/21
  35. 3
  36. 48
  37. 1
  38. 4
  39. 84/19
  40. 12

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