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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 393 · 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.Vivaan and Rohan together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Rohan take alone?
  2. 2.Karan can finish a job in 2 days and Sneha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Saanvi and Ananya together finish a job in 12 days. Saanvi alone takes 18 days. How many days would Ananya take alone?
  4. 4.Ishaan can finish a job in 8 days and Sneha in 4 days. Ishaan works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  5. 5.Isha can finish a job in 5 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. =
  6. 6.Tara works three times as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  7. 7.Isha works twice as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  8. 8.Rohan can finish a job in 15 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Saanvi can finish a job in 18 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Aditya can finish a job in 5 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kabir can finish a job in 4 days and Zoya in 12 days. Kabir works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  12. 12.Kavya works three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  13. 13.Farhan can finish a job in 4 days and Diya in 6 days. Farhan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  14. 14.Rahul can finish a job in 6 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Saanvi can finish a job in 20 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Ananya can finish a job in 4 days and Meera in 12 days. Ananya works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  17. 17.Nisha can finish a job in 6 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kavya and Ishaan together finish a job in 9 days. Kavya alone takes 12 days. How many days would Ishaan take alone?
  19. 19.Arjun can finish a job in 20 days and Manav in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Ishaan can finish a job in 11 days and Saanvi in 22 days. Ishaan works alone for 10 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  21. 21.Ananya can finish a job in 13 days and Nisha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Arjun can finish a job in 30 days and Kavya in 28 days. Arjun works alone for 15 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  23. 23.Rohan works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  24. 24.Ananya works three times as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  25. 25.Nisha works twice as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  26. 26.Priya can finish a job in 16 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Diya works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  28. 28.Nisha and Kavya together finish a job in 16 days. Nisha alone takes 20 days. How many days would Kavya take alone?
  29. 29.Arjun works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  30. 30.Zoya can finish a job in 7 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rahul can finish a job in 27 days and Vivaan in 18 days. Rahul works alone for 21 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  32. 32.Ananya can finish a job in 12 days and Manav in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Sneha can finish a job in 6 days and Farhan in 22 days. Sneha works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  34. 34.Rahul and Nisha together finish a job in 2 days. Rahul alone takes 4 days. How many days would Nisha take alone?
  35. 35.Kabir can finish a job in 4 days and Diya in 24 days. Kabir works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  36. 36.Kabir works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  37. 37.Kabir can finish a job in 5 days and Rohan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Vivaan and Rahul together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Rahul take alone?
  39. 39.Kabir and Kavya together finish a job in 3 days. Kabir alone takes 4 days. How many days would Kavya take alone?
  40. 40.Rohan can finish a job in 19 days and Meera in 9 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 6
  2. 7/4
  3. 36
  4. 1
  5. 45/14
  6. 12
  7. 30
  8. 44/105
  9. 6
  10. 20/9
  11. 9
  12. 32
  13. 3
  14. 7/24
  15. 60/23
  16. 9
  17. 4
  18. 36
  19. 4/15
  20. 2
  21. 20/91
  22. 14
  23. 12
  24. 48
  25. 18
  26. 33/272
  27. 21
  28. 80
  29. 9
  30. 35/12
  31. 4
  32. 5/36
  33. 11
  34. 4
  35. 6
  36. 9
  37. 23/30
  38. 4
  39. 12
  40. 28/171

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