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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 244 · 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.Dev can finish a job in 17 days and Sneha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Manav works twice as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  3. 3.Kavya can finish a job in 6 days and Vivaan in 4 days. Kavya works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  4. 4.Vivaan can finish a job in 7 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Nisha can finish a job in 10 days and Rahul in 30 days. Nisha works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  6. 6.Pooja can finish a job in 12 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Nisha can finish a job in 17 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Sneha works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  9. 9.Priya can finish a job in 8 days and Sneha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Saanvi and Meera together finish a job in 20 days. Saanvi alone takes 28 days. How many days would Meera take alone?
  11. 11.Ananya and Farhan together finish a job in 11 days. Ananya alone takes 22 days. How many days would Farhan take alone?
  12. 12.Priya and Manav together finish a job in 9 days. Priya alone takes 12 days. How many days would Manav take alone?
  13. 13.Aarav can finish a job in 27 days and Vivaan in 9 days. Aarav works alone for 9 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  14. 14.Rahul and Dev together finish a job in 6 days. Rahul alone takes 8 days. How many days would Dev take alone?
  15. 15.Rohan and Kabir together finish a job in 12 days. Rohan alone takes 21 days. How many days would Kabir take alone?
  16. 16.Vivaan can finish a job in 15 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. =
  17. 17.Rohan can finish a job in 30 days and Aarav in 8 days. Rohan works alone for 15 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  18. 18.Zoya can finish a job in 7 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Ishaan and Meera together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Meera take alone?
  20. 20.Farhan can finish a job in 16 days and Tara in 8 days. Farhan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  21. 21.Arjun can finish a job in 6 days and Diya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Aarav can finish a job in 16 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Kabir and Kavya together finish a job in 2 days. Kabir alone takes 6 days. How many days would Kavya take alone?
  24. 24.Arjun can finish a job in 3 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aditya can finish a job in 12 days and Dev in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Farhan and Rohan together finish a job in 12 days. Farhan alone takes 18 days. How many days would Rohan take alone?
  27. 27.Karan can finish a job in 12 days and Rohan in 30 days. Karan works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  28. 28.Rohan can finish a job in 2 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Arjun works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  30. 30.Karan can finish a job in 5 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Diya can finish a job in 7 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Dev and Sneha together finish a job in 4 days. Dev alone takes 6 days. How many days would Sneha take alone?
  33. 33.Manav can finish a job in 11 days and Pooja in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Saanvi and Aarav together finish a job in 10 days. Saanvi alone takes 20 days. How many days would Aarav take alone?
  35. 35.Aditya can finish a job in 4 days and Diya in 6 days. Aditya works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  36. 36.Ananya can finish a job in 12 days and Nisha in 8 days. Ananya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  37. 37.Arjun works three times as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  38. 38.Manav can finish a job in 19 days and Tara in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Sneha can finish a job in 15 days and Rohan in 27 days. Sneha works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  40. 40.Dev and Aditya together finish a job in 4 days. Dev alone takes 5 days. How many days would Aditya take alone?

Answer key

  1. 255/32
  2. 6
  3. 2
  4. 45/56
  5. 6
  6. 228/31
  7. 238/31
  8. 6
  9. 120/23
  10. 70
  11. 22
  12. 36
  13. 6
  14. 24
  15. 28
  16. 105/22
  17. 4
  18. 25/42
  19. 4
  20. 6
  21. 5/9
  22. 31/240
  23. 3
  24. 15/8
  25. 19/28
  26. 36
  27. 25
  28. 20/11
  29. 8
  30. 16/55
  31. 15/56
  32. 12
  33. 176/27
  34. 20
  35. 3
  36. 6
  37. 12
  38. 33/266
  39. 9
  40. 20

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