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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 169 · 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.Rohan works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  2. 2.Isha can finish a job in 3 days and Aditya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Diya and Aarav together finish a job in 4 days. Diya alone takes 5 days. How many days would Aarav take alone?
  4. 4.Ishaan and Kabir together finish a job in 8 days. Ishaan alone takes 10 days. How many days would Kabir take alone?
  5. 5.Sneha works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  6. 6.Manav can finish a job in 6 days and Rohan in 18 days. Manav works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  7. 7.Arjun can finish a job in 15 days and Farhan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Meera can finish a job in 3 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Ishaan can finish a job in 4 days and Kavya in 24 days. Ishaan works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  10. 10.Aarav can finish a job in 9 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Isha can finish a job in 17 days and Tara in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Arjun works three times as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  13. 13.Dev and Priya together finish a job in 3 days. Dev alone takes 6 days. How many days would Priya take alone?
  14. 14.Manav can finish a job in 28 days and Meera in 7 days. Manav works alone for 16 days and then stops. Meera finishes the rest. How many days does Meera take?
  15. 15.Nisha and Rohan together finish a job in 10 days. Nisha alone takes 20 days. How many days would Rohan take alone?
  16. 16.Kavya and Manav together finish a job in 21 days. Kavya alone takes 28 days. How many days would Manav take alone?
  17. 17.Sneha can finish a job in 12 days and Nisha in 28 days. Sneha works alone for 9 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  18. 18.Saanvi works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  19. 19.Manav works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  20. 20.Saanvi can finish a job in 4 days and Rohan in 8 days. Saanvi works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  21. 21.Kabir can finish a job in 4 days and Aditya in 22 days. Kabir works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  22. 22.Rahul can finish a job in 7 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Karan can finish a job in 8 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kavya can finish a job in 9 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Pooja works three times as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  26. 26.Aarav can finish a job in 4 days and Meera in 24 days. Aarav works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  27. 27.Karan and Rohan together finish a job in 6 days. Karan alone takes 12 days. How many days would Rohan take alone?
  28. 28.Aarav and Tara together finish a job in 2 days. Aarav alone takes 3 days. How many days would Tara take alone?
  29. 29.Nisha and Kavya together finish a job in 20 days. Nisha alone takes 30 days. How many days would Kavya take alone?
  30. 30.Diya works twice as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  31. 31.Manav can finish a job in 19 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Priya can finish a job in 4 days and Isha in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Nisha and Rohan together finish a job in 3 days. Nisha alone takes 4 days. How many days would Rohan take alone?
  34. 34.Aarav can finish a job in 4 days and Diya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Tara can finish a job in 4 days and Pooja in 24 days. Tara works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
  36. 36.Dev and Rahul together finish a job in 2 days. Dev alone takes 6 days. How many days would Rahul take alone?
  37. 37.Aarav works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  38. 38.Ananya can finish a job in 17 days and Diya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Rohan and Kabir together finish a job in 14 days. Rohan alone takes 21 days. How many days would Kabir take alone?
  40. 40.Nisha can finish a job in 20 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 16
  2. 42/17
  3. 20
  4. 40
  5. 12
  6. 9
  7. 105/22
  8. 30/13
  9. 12
  10. 16/63
  11. 48/119
  12. 28
  13. 6
  14. 3
  15. 20
  16. 84
  17. 7
  18. 16
  19. 48
  20. 6
  21. 11
  22. 15/56
  23. 24/7
  24. 29/180
  25. 40
  26. 6
  27. 12
  28. 6
  29. 60
  30. 9
  31. 133/26
  32. 11/14
  33. 12
  34. 11/18
  35. 18
  36. 3
  37. 12
  38. 99/272
  39. 42
  40. 39/380

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