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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 371 · 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.Ananya and Aditya together finish a job in 9 days. Ananya alone takes 12 days. How many days would Aditya take alone?
  2. 2.Aditya can finish a job in 3 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. =
  3. 3.Manav works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  4. 4.Rahul can finish a job in 11 days and Aarav in 22 days. Rahul works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  5. 5.Nisha can finish a job in 5 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Tara can finish a job in 7 days and Priya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Zoya and Pooja together finish a job in 7 days. Zoya alone takes 8 days. How many days would Pooja take alone?
  8. 8.Ishaan can finish a job in 9 days and Kavya in 27 days. Ishaan works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  9. 9.Aditya can finish a job in 4 days and Isha in 22 days. Aditya works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  10. 10.Kavya can finish a job in 12 days and Rohan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Isha can finish a job in 7 days and Meera in 28 days. Isha works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  12. 12.Sneha and Priya together finish a job in 2 days. Sneha alone takes 3 days. How many days would Priya take alone?
  13. 13.Pooja can finish a job in 3 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Ishaan can finish a job in 7 days and Nisha in 14 days. Ishaan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  15. 15.Nisha works twice as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  16. 16.Kavya can finish a job in 12 days and Priya in 8 days. Kavya works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  17. 17.Isha can finish a job in 30 days and Ananya in 5 days. Isha works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  18. 18.Vivaan works three times as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  19. 19.Dev and Rohan together finish a job in 2 days. Dev alone takes 3 days. How many days would Rohan take alone?
  20. 20.Kabir can finish a job in 7 days and Pooja in 28 days. Kabir works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  21. 21.Dev can finish a job in 5 days and Rohan in 20 days. Dev works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  22. 22.Sneha works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  23. 23.Dev can finish a job in 11 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Meera works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  25. 25.Karan can finish a job in 13 days and Manav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Dev can finish a job in 4 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Aarav can finish a job in 18 days and Farhan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Vivaan can finish a job in 20 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aditya and Diya together finish a job in 2 days. Aditya alone takes 6 days. How many days would Diya take alone?
  30. 30.Saanvi can finish a job in 15 days and Manav in 10 days. Saanvi works alone for 9 days and then stops. Manav finishes the rest. How many days does Manav take?
  31. 31.Kabir can finish a job in 10 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Farhan and Aarav together finish a job in 6 days. Farhan alone takes 12 days. How many days would Aarav take alone?
  33. 33.Kavya can finish a job in 30 days and Nisha in 6 days. Kavya works alone for 10 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  34. 34.Nisha can finish a job in 9 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. =
  35. 35.Ananya can finish a job in 16 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Zoya and Sneha together finish a job in 14 days. Zoya alone takes 28 days. How many days would Sneha take alone?
  37. 37.Manav can finish a job in 30 days and Vivaan in 5 days. Manav works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  38. 38.Ananya can finish a job in 17 days and Diya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Manav and Zoya together finish a job in 15 days. Manav alone takes 24 days. How many days would Zoya take alone?
  40. 40.Tara works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?

Answer key

  1. 36
  2. 2
  3. 16
  4. 18
  5. 66/85
  6. 32/63
  7. 56
  8. 15
  9. 11
  10. 228/31
  11. 20
  12. 6
  13. 30/13
  14. 2
  15. 36
  16. 6
  17. 4
  18. 24
  19. 6
  20. 20
  21. 12
  22. 36
  23. 27/176
  24. 27
  25. 182/27
  26. 4/3
  27. 11/30
  28. 60/23
  29. 3
  30. 4
  31. 7/20
  32. 12
  33. 4
  34. 45/14
  35. 31/120
  36. 28
  37. 4
  38. 23/51
  39. 40
  40. 36

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