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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 207 · 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.Rahul can finish a job in 12 days and Nisha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Vivaan and Kavya together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Kavya take alone?
  3. 3.Nisha can finish a job in 19 days and Rohan in 10 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 7 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Isha works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  6. 6.Tara and Zoya together finish a job in 5 days. Tara alone takes 6 days. How many days would Zoya take alone?
  7. 7.Kavya can finish a job in 10 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Zoya works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  9. 9.Kavya works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  10. 10.Rahul and Diya together finish a job in 2 days. Rahul alone takes 4 days. How many days would Diya take alone?
  11. 11.Isha and Sneha together finish a job in 15 days. Isha alone takes 30 days. How many days would Sneha take alone?
  12. 12.Pooja works three times as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  13. 13.Sneha can finish a job in 5 days and Kavya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Vivaan can finish a job in 16 days and Kabir in 6 days. Vivaan works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  15. 15.Rohan can finish a job in 8 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Aarav works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  17. 17.Rahul can finish a job in 5 days and Karan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Aarav can finish a job in 8 days and Rahul in 6 days. Aarav works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  19. 19.Aditya can finish a job in 19 days and Pooja in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Arjun works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  21. 21.Isha works twice as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  22. 22.Ishaan can finish a job in 6 days and Dev in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan and Aditya together finish a job in 2 days. Rohan alone takes 6 days. How many days would Aditya take alone?
  24. 24.Meera can finish a job in 10 days and Arjun in 16 days. Meera works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  25. 25.Tara can finish a job in 6 days and Saanvi in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Diya works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  27. 27.Isha can finish a job in 24 days and Zoya in 20 days. Isha works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Sneha and Rohan together finish a job in 2 days. Sneha alone takes 6 days. How many days would Rohan take alone?
  29. 29.Kabir and Saanvi together finish a job in 7 days. Kabir alone takes 8 days. How many days would Saanvi take alone?
  30. 30.Saanvi and Farhan together finish a job in 8 days. Saanvi alone takes 10 days. How many days would Farhan take alone?
  31. 31.Sneha can finish a job in 5 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Pooja can finish a job in 5 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Zoya can finish a job in 8 days and Rohan in 30 days. Zoya works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  34. 34.Pooja can finish a job in 5 days and Isha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Diya can finish a job in 5 days and Rahul in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Rohan can finish a job in 5 days and Karan in 15 days. Rohan works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  37. 37.Isha can finish a job in 30 days and Aditya in 5 days. Isha works alone for 24 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  38. 38.Ananya can finish a job in 11 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Diya works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  40. 40.Saanvi and Pooja together finish a job in 8 days. Saanvi alone takes 9 days. How many days would Pooja take alone?

Answer key

  1. 36/5
  2. 6
  3. 190/29
  4. 24/119
  5. 15
  6. 30
  7. 5/3
  8. 12
  9. 20
  10. 4
  11. 30
  12. 32
  13. 65/18
  14. 3
  15. 3/4
  16. 33
  17. 32/55
  18. 3
  19. 304/35
  20. 9
  21. 30
  22. 18/5
  23. 3
  24. 8
  25. 78/19
  26. 24
  27. 15
  28. 3
  29. 56
  30. 40
  31. 55/16
  32. 80/21
  33. 15
  34. 12/35
  35. 30/11
  36. 3
  37. 1
  38. 110/21
  39. 18
  40. 72

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