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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 328 · 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.Saanvi works twice as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  2. 2.Ananya can finish a job in 6 days and Karan in 18 days. Ananya works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  3. 3.Manav can finish a job in 8 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Arjun can finish a job in 15 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Zoya can finish a job in 5 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. =
  6. 6.Priya can finish a job in 10 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Tara and Kavya together finish a job in 6 days. Tara alone takes 10 days. How many days would Kavya take alone?
  8. 8.Kavya can finish a job in 2 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Karan can finish a job in 18 days and Diya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Farhan works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  11. 11.Kavya and Vivaan together finish a job in 5 days. Kavya alone takes 6 days. How many days would Vivaan take alone?
  12. 12.Diya works three times as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  13. 13.Rohan and Diya together finish a job in 2 days. Rohan alone takes 4 days. How many days would Diya take alone?
  14. 14.Pooja and Dev together finish a job in 6 days. Pooja alone takes 7 days. How many days would Dev take alone?
  15. 15.Farhan can finish a job in 3 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Kavya can finish a job in 8 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Manav can finish a job in 20 days and Diya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Sneha works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  19. 19.Dev can finish a job in 7 days and Meera in 21 days. Dev works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  20. 20.Pooja and Karan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Karan take alone?
  21. 21.Rohan can finish a job in 13 days and Karan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rahul can finish a job in 5 days and Rohan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Saanvi can finish a job in 6 days and Meera in 24 days. Saanvi works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  24. 24.Dev can finish a job in 12 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Aditya can finish a job in 5 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Zoya works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  27. 27.Karan can finish a job in 5 days and Meera in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Sneha and Manav together finish a job in 3 days. Sneha alone takes 4 days. How many days would Manav take alone?
  29. 29.Meera can finish a job in 24 days and Sneha in 12 days. Meera works alone for 8 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  30. 30.Sneha can finish a job in 11 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun can finish a job in 2 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Ishaan works three times as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  33. 33.Kabir can finish a job in 8 days and Farhan in 26 days. Kabir works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  34. 34.Diya and Isha together finish a job in 4 days. Diya alone takes 8 days. How many days would Isha take alone?
  35. 35.Meera and Sneha together finish a job in 2 days. Meera alone takes 6 days. How many days would Sneha take alone?
  36. 36.Priya can finish a job in 15 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Kabir and Meera together finish a job in 12 days. Kabir alone takes 21 days. How many days would Meera take alone?
  38. 38.Karan can finish a job in 14 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Dev can finish a job in 4 days and Tara in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Tara can finish a job in 6 days and Nisha in 15 days. Tara works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?

Answer key

  1. 36
  2. 15
  3. 27/152
  4. 255/32
  5. 65/18
  6. 6
  7. 15
  8. 20/11
  9. 11/12
  10. 9
  11. 30
  12. 24
  13. 4
  14. 42
  15. 42/17
  16. 39/40
  17. 19/90
  18. 24
  19. 12
  20. 6
  21. 234/31
  22. 39/40
  23. 20
  24. 5/18
  25. 20/9
  26. 18
  27. 23/30
  28. 12
  29. 8
  30. 154/25
  31. 3/2
  32. 32
  33. 13
  34. 8
  35. 3
  36. 19/30
  37. 28
  38. 238/31
  39. 15/22
  40. 5

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