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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 311 · 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.Manav can finish a job in 27 days and Saanvi in 9 days. Manav works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  2. 2.Kavya can finish a job in 10 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. =
  3. 3.Rahul can finish a job in 7 days and Isha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Karan can finish a job in 15 days and Priya in 9 days. Karan works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  5. 5.Karan can finish a job in 5 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Kavya can finish a job in 7 days and Aarav in 14 days. Kavya works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  7. 7.Isha works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  8. 8.Nisha works three times as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
  9. 9.Ishaan can finish a job in 13 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kavya and Sneha together finish a job in 2 days. Kavya alone takes 3 days. How many days would Sneha take alone?
  11. 11.Rohan can finish a job in 11 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Diya works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  13. 13.Manav and Sneha together finish a job in 5 days. Manav alone takes 30 days. How many days would Sneha take alone?
  14. 14.Kabir can finish a job in 7 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Nisha can finish a job in 7 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Ishaan can finish a job in 12 days and Kavya in 15 days. Ishaan works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  17. 17.Kabir works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  18. 18.Tara and Kavya together finish a job in 5 days. Tara alone takes 6 days. How many days would Kavya take alone?
  19. 19.Isha can finish a job in 8 days and Tara in 16 days. Isha works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
  20. 20.Saanvi can finish a job in 17 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Ananya can finish a job in 6 days and Saanvi in 21 days. Ananya works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  22. 22.Meera can finish a job in 18 days and Tara in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Dev can finish a job in 11 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. =
  24. 24.Kabir can finish a job in 8 days and Ananya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Sneha and Isha together finish a job in 4 days. Sneha alone takes 5 days. How many days would Isha take alone?
  26. 26.Isha can finish a job in 4 days and Dev in 26 days. Isha works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  27. 27.Pooja can finish a job in 6 days and Dev in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Dev can finish a job in 7 days and Manav in 14 days. Dev works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  29. 29.Karan can finish a job in 4 days and Aarav in 5 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 8 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Arjun and Nisha together finish a job in 9 days. Arjun alone takes 10 days. How many days would Nisha take alone?
  32. 32.Arjun can finish a job in 18 days and Tara in 4 days. Arjun works alone for 9 days and then stops. Tara finishes the rest. How many days does Tara take?
  33. 33.Saanvi works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  34. 34.Farhan and Saanvi together finish a job in 9 days. Farhan alone takes 10 days. How many days would Saanvi take alone?
  35. 35.Tara and Ananya together finish a job in 2 days. Tara alone takes 3 days. How many days would Ananya take alone?
  36. 36.Ishaan works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  37. 37.Meera can finish a job in 6 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Arjun and Dev together finish a job in 2 days. Arjun alone takes 3 days. How many days would Dev take alone?
  39. 39.Farhan can finish a job in 9 days and Diya in 18 days. Farhan works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  40. 40.Aarav works three times as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?

Answer key

  1. 6
  2. 190/29
  3. 51/70
  4. 6
  5. 1/4
  6. 6
  7. 18
  8. 16
  9. 65/18
  10. 6
  11. 198/29
  12. 16
  13. 6
  14. 3/14
  15. 12/35
  16. 10
  17. 48
  18. 30
  19. 2
  20. 32/255
  21. 7
  22. 11/90
  23. 154/25
  24. 21/40
  25. 20
  26. 13
  27. 114/25
  28. 10
  29. 20/9
  30. 57/88
  31. 90
  32. 2
  33. 12
  34. 90
  35. 6
  36. 18
  37. 24/7
  38. 6
  39. 10
  40. 20

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