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Time and Work Worksheet

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

Answer key

  1. 5/2
  2. 9
  3. 4
  4. 4
  5. 110/21
  6. 4
  7. 35/306
  8. 4
  9. 16/5
  10. 9
  11. 18
  12. 12
  13. 77/18
  14. 12/7
  15. 2/9
  16. 21/5
  17. 44
  18. 35/12
  19. 32
  20. 12
  21. 21
  22. 28
  23. 12
  24. 60/23
  25. 10
  26. 2
  27. 11/28
  28. 44/15
  29. 16/3
  30. 18
  31. 3
  32. 27/182
  33. 3
  34. 33/14
  35. 33
  36. 20
  37. 36/11
  38. 70/19
  39. 84
  40. 6

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