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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 424 · 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.Arjun can finish a job in 16 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Diya can finish a job in 10 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Tara and Meera together finish a job in 8 days. Tara alone takes 9 days. How many days would Meera take alone?
  4. 4.Ananya can finish a job in 6 days and Isha in 18 days. Ananya works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Priya can finish a job in 3 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kabir can finish a job in 6 days and Isha in 21 days. Kabir works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  7. 7.Nisha can finish a job in 24 days and Kavya in 30 days. Nisha works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  8. 8.Rohan can finish a job in 11 days and Arjun in 22 days. Rohan works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  9. 9.Ishaan can finish a job in 28 days and Ananya in 14 days. Ishaan works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  10. 10.Nisha can finish a job in 18 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Manav can finish a job in 4 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kavya and Sneha together finish a job in 6 days. Kavya alone takes 24 days. How many days would Sneha take alone?
  13. 13.Tara can finish a job in 6 days and Ishaan in 18 days. Tara works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  14. 14.Rahul works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  15. 15.Rohan can finish a job in 13 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Ishaan works twice as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  17. 17.Meera can finish a job in 16 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Rahul can finish a job in 4 days and Rohan in 6 days. Rahul works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  19. 19.Rohan works twice as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  20. 20.Isha and Kavya together finish a job in 3 days. Isha alone takes 12 days. How many days would Kavya take alone?
  21. 21.Vivaan can finish a job in 30 days and Ananya in 12 days. Vivaan works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  22. 22.Meera can finish a job in 7 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. =
  23. 23.Ishaan and Kabir together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Kabir take alone?
  24. 24.Aditya can finish a job in 9 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya can finish a job in 17 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. =
  26. 26.Diya can finish a job in 30 days and Vivaan in 18 days. Diya works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  27. 27.Vivaan can finish a job in 18 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Saanvi can finish a job in 13 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Priya can finish a job in 12 days and Dev in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Diya and Priya together finish a job in 3 days. Diya alone takes 12 days. How many days would Priya take alone?
  31. 31.Meera and Karan together finish a job in 3 days. Meera alone takes 4 days. How many days would Karan take alone?
  32. 32.Ishaan and Diya together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Diya take alone?
  33. 33.Arjun and Tara together finish a job in 3 days. Arjun alone takes 4 days. How many days would Tara take alone?
  34. 34.Sneha and Pooja together finish a job in 8 days. Sneha alone takes 9 days. How many days would Pooja take alone?
  35. 35.Nisha works twice as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  36. 36.Zoya can finish a job in 18 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Rahul can finish a job in 10 days and Arjun in 20 days. Rahul works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  38. 38.Ananya can finish a job in 4 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Arjun can finish a job in 20 days and Rahul in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 4 days. How many days would Aditya take alone?

Answer key

  1. 23/56
  2. 40/9
  3. 72
  4. 3
  5. 18/7
  6. 14
  7. 20
  8. 16
  9. 9
  10. 90/23
  11. 3
  12. 8
  13. 12
  14. 20
  15. 23/130
  16. 21
  17. 208/29
  18. 3
  19. 18
  20. 4
  21. 8
  22. 14/9
  23. 6
  24. 144/25
  25. 323/36
  26. 15
  27. 37/171
  28. 208/29
  29. 3/4
  30. 4
  31. 12
  32. 12
  33. 12
  34. 72
  35. 24
  36. 2/3
  37. 10
  38. 52/17
  39. 33/130
  40. 4

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