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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 45 · 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.Sneha can finish a job in 19 days and Karan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Ananya can finish a job in 12 days and Saanvi in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Arjun can finish a job in 17 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kabir can finish a job in 5 days and Aditya in 30 days. Kabir works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  5. 5.Diya and Ishaan together finish a job in 5 days. Diya alone takes 10 days. How many days would Ishaan take alone?
  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.Manav can finish a job in 6 days and Dev in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Meera can finish a job in 14 days and Arjun in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Meera can finish a job in 16 days and Diya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Arjun works twice as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  11. 11.Karan works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  12. 12.Kabir can finish a job in 13 days and Pooja in 26 days. Kabir works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  13. 13.Karan and Tara together finish a job in 14 days. Karan alone takes 28 days. How many days would Tara take alone?
  14. 14.Kavya can finish a job in 28 days and Zoya in 26 days. Kavya works alone for 14 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  15. 15.Farhan can finish a job in 4 days and Rohan in 12 days. Farhan works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  16. 16.Manav and Vivaan together finish a job in 2 days. Manav alone takes 6 days. How many days would Vivaan take alone?
  17. 17.Arjun and Kabir together finish a job in 4 days. Arjun alone takes 20 days. How many days would Kabir take alone?
  18. 18.Kabir can finish a job in 3 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Rohan can finish a job in 15 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Sneha can finish a job in 19 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Rahul and Manav together finish a job in 4 days. Rahul alone takes 8 days. How many days would Manav take alone?
  22. 22.Dev can finish a job in 16 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Arjun can finish a job in 16 days and Rahul in 24 days. Arjun works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  24. 24.Nisha can finish a job in 18 days and Tara in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Diya and Priya together finish a job in 2 days. Diya alone takes 3 days. How many days would Priya take alone?
  26. 26.Manav can finish a job in 15 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Pooja and Nisha together finish a job in 6 days. Pooja alone takes 7 days. How many days would Nisha take alone?
  28. 28.Saanvi can finish a job in 10 days and Karan in 30 days. Saanvi works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  29. 29.Dev can finish a job in 5 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Diya and Saanvi together finish a job in 4 days. Diya alone takes 8 days. How many days would Saanvi take alone?
  31. 31.Diya can finish a job in 7 days and Tara in 21 days. Diya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  32. 32.Vivaan can finish a job in 15 days and Rahul in 18 days. Vivaan works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  33. 33.Priya can finish a job in 19 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Isha can finish a job in 10 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Nisha can finish a job in 5 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Ananya works twice as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  37. 37.Zoya can finish a job in 19 days and Meera in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Ananya can finish a job in 12 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan can finish a job in 13 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Dev works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?

Answer key

  1. 190/29
  2. 17/60
  3. 34/19
  4. 12
  5. 10
  6. 4
  7. 8/15
  8. 19/35
  9. 27/176
  10. 27
  11. 12
  12. 20
  13. 28
  14. 13
  15. 9
  16. 3
  17. 5
  18. 30/13
  19. 32/85
  20. 37/114
  21. 8
  22. 21/40
  23. 18
  24. 17/144
  25. 6
  26. 3/10
  27. 42
  28. 6
  29. 17/30
  30. 8
  31. 15
  32. 12
  33. 133/26
  34. 81/170
  35. 4/5
  36. 6
  37. 24/95
  38. 12/7
  39. 52/17
  40. 27

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