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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 395 · 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.Nisha can finish a job in 6 days and Manav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Isha and Arjun together finish a job in 12 days. Isha alone takes 15 days. How many days would Arjun take alone?
  3. 3.Diya can finish a job in 12 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Ananya can finish a job in 7 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Sneha and Priya together finish a job in 16 days. Sneha alone takes 24 days. How many days would Priya take alone?
  6. 6.Diya and Isha together finish a job in 4 days. Diya alone takes 6 days. How many days would Isha take alone?
  7. 7.Aditya can finish a job in 8 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Aarav can finish a job in 13 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Rahul can finish a job in 3 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. =
  10. 10.Aditya works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  11. 11.Kabir and Karan together finish a job in 2 days. Kabir alone takes 3 days. How many days would Karan take alone?
  12. 12.Priya can finish a job in 10 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Tara can finish a job in 28 days and Farhan in 7 days. Tara works alone for 24 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  14. 14.Saanvi can finish a job in 12 days and Vivaan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Diya works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  16. 16.Diya can finish a job in 6 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Vivaan can finish a job in 12 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera can finish a job in 5 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Meera works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  20. 20.Rahul can finish a job in 17 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ananya can finish a job in 12 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Nisha can finish a job in 9 days and Rahul in 24 days. Nisha works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Zoya and Saanvi together finish a job in 15 days. Zoya alone takes 20 days. How many days would Saanvi take alone?
  24. 24.Zoya can finish a job in 3 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Diya can finish a job in 16 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Isha works three times as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  27. 27.Zoya can finish a job in 11 days and Aarav in 22 days. Zoya works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  28. 28.Nisha can finish a job in 15 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Arjun and Diya together finish a job in 2 days. Arjun alone takes 4 days. How many days would Diya take alone?
  30. 30.Tara can finish a job in 12 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Saanvi can finish a job in 18 days and Sneha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Arjun works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  33. 33.Diya works three times as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  34. 34.Arjun can finish a job in 9 days and Farhan in 18 days. Arjun works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  35. 35.Meera can finish a job in 9 days and Karan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Pooja can finish a job in 21 days and Diya in 14 days. Pooja works alone for 15 days and then stops. Diya finishes the rest. How many days does Diya take?
  37. 37.Rahul can finish a job in 6 days and Ananya in 24 days. Rahul works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  38. 38.Nisha works three times as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  39. 39.Nisha can finish a job in 12 days and Arjun in 6 days. Nisha works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  40. 40.Karan works twice as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?

Answer key

  1. 11/48
  2. 60
  3. 12/7
  4. 27/140
  5. 48
  6. 12
  7. 56/15
  8. 60/221
  9. 33/14
  10. 36
  11. 6
  12. 45/7
  13. 1
  14. 4/15
  15. 24
  16. 30/7
  17. 3
  18. 17/60
  19. 18
  20. 51/20
  21. 36/7
  22. 8
  23. 60
  24. 30/13
  25. 33/136
  26. 24
  27. 12
  28. 22/35
  29. 4
  30. 13/28
  31. 1/6
  32. 16
  33. 8
  34. 16
  35. 5/18
  36. 4
  37. 20
  38. 44
  39. 1
  40. 30

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