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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 402 · 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 and Aditya together finish a job in 3 days. Arjun alone takes 4 days. How many days would Aditya take alone?
  2. 2.Aarav and Diya together finish a job in 7 days. Aarav alone takes 8 days. How many days would Diya take alone?
  3. 3.Saanvi and Ananya together finish a job in 12 days. Saanvi alone takes 16 days. How many days would Ananya take alone?
  4. 4.Rahul works three times as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  5. 5.Saanvi can finish a job in 14 days and Isha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Ishaan and Nisha together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Nisha take alone?
  7. 7.Rohan can finish a job in 2 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Isha can finish a job in 14 days and Karan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Pooja works twice as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  10. 10.Ishaan can finish a job in 14 days and Diya in 28 days. Ishaan works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  11. 11.Ananya can finish a job in 3 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Meera and Tara together finish a job in 6 days. Meera alone takes 24 days. How many days would Tara take alone?
  13. 13.Farhan can finish a job in 8 days and Saanvi in 28 days. Farhan works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  14. 14.Arjun and Kabir together finish a job in 8 days. Arjun alone takes 10 days. How many days would Kabir take alone?
  15. 15.Dev can finish a job in 18 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Manav can finish a job in 8 days and Diya in 24 days. Manav works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  17. 17.Diya can finish a job in 4 days and Farhan in 24 days. Diya works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  18. 18.Pooja can finish a job in 14 days and Kabir in 21 days. Pooja works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  19. 19.Meera and Isha together finish a job in 2 days. Meera alone takes 3 days. How many days would Isha take alone?
  20. 20.Isha can finish a job in 11 days and Aditya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Dev can finish a job in 14 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 3 days. How many days would Aditya take alone?
  23. 23.Farhan can finish a job in 28 days and Kavya in 21 days. Farhan works alone for 20 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  24. 24.Meera and Ananya together finish a job in 4 days. Meera alone takes 5 days. How many days would Ananya take alone?
  25. 25.Ananya can finish a job in 9 days and Isha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Ananya works three times as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  27. 27.Ishaan can finish a job in 17 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Farhan can finish a job in 14 days and Karan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ananya can finish a job in 17 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rohan can finish a job in 17 days and Vivaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Nisha can finish a job in 5 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Arjun can finish a job in 28 days and Kavya in 10 days. Arjun works alone for 14 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  33. 33.Kavya can finish a job in 30 days and Meera in 6 days. Kavya works alone for 20 days and then stops. Meera finishes the rest. How many days does Meera take?
  34. 34.Rohan works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  35. 35.Rahul can finish a job in 5 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aditya can finish a job in 7 days and Dev in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Arjun and Saanvi together finish a job in 3 days. Arjun alone takes 12 days. How many days would Saanvi take alone?
  38. 38.Farhan can finish a job in 6 days and Arjun in 30 days. Farhan works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  39. 39.Rohan and Karan together finish a job in 2 days. Rohan alone takes 6 days. How many days would Karan take alone?
  40. 40.Arjun can finish a job in 21 days and Kavya in 28 days. Arjun works alone for 9 days and then stops. Kavya finishes the rest. How many days does Kavya take?

Answer key

  1. 12
  2. 56
  3. 48
  4. 24
  5. 84/13
  6. 4
  7. 18/11
  8. 84/13
  9. 36
  10. 8
  11. 30/13
  12. 8
  13. 21
  14. 40
  15. 13/24
  16. 18
  17. 18
  18. 9
  19. 6
  20. 44/15
  21. 238/31
  22. 6
  23. 6
  24. 20
  25. 19/30
  26. 12
  27. 68/21
  28. 84/13
  29. 323/36
  30. 136/25
  31. 9/10
  32. 5
  33. 2
  34. 27
  35. 10/7
  36. 44/105
  37. 4
  38. 10
  39. 3
  40. 16

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