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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 340 · 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.Aditya can finish a job in 8 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rohan can finish a job in 6 days and Karan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Sneha can finish a job in 18 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Zoya works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  5. 5.Karan works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  6. 6.Manav can finish a job in 17 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Arjun can finish a job in 4 days and Manav in 8 days. Arjun works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  8. 8.Rohan can finish a job in 4 days and Manav in 28 days. Rohan works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Ishaan can finish a job in 18 days and Dev in 6 days. Ishaan works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  10. 10.Vivaan works three times as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
  11. 11.Vivaan can finish a job in 8 days and Ananya in 24 days. Vivaan works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  12. 12.Saanvi and Pooja together finish a job in 3 days. Saanvi alone takes 6 days. How many days would Pooja take alone?
  13. 13.Isha and Pooja together finish a job in 18 days. Isha alone takes 30 days. How many days would Pooja take alone?
  14. 14.Manav can finish a job in 18 days and Priya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Vivaan and Manav together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Manav take alone?
  16. 16.Rohan can finish a job in 10 days and Farhan in 22 days. Rohan works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  17. 17.Karan can finish a job in 17 days and Diya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Meera works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  19. 19.Ananya and Rahul together finish a job in 2 days. Ananya alone takes 6 days. How many days would Rahul take alone?
  20. 20.Meera and Kabir together finish a job in 4 days. Meera alone takes 5 days. How many days would Kabir take alone?
  21. 21.Arjun can finish a job in 8 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Sneha works twice as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  23. 23.Kavya works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  24. 24.Ishaan and Arjun together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Arjun take alone?
  25. 25.Arjun can finish a job in 7 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Meera works twice as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
  27. 27.Ishaan can finish a job in 6 days and Diya in 14 days. Ishaan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  28. 28.Ananya can finish a job in 15 days and Kavya in 6 days. Ananya works alone for 10 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  29. 29.Ishaan and Manav together finish a job in 6 days. Ishaan alone takes 7 days. How many days would Manav take alone?
  30. 30.Rahul can finish a job in 15 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rahul can finish a job in 16 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Saanvi works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  33. 33.Pooja works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  34. 34.Meera can finish a job in 3 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kabir can finish a job in 8 days and Rohan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Tara can finish a job in 3 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Priya can finish a job in 17 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Farhan can finish a job in 16 days and Tara in 20 days. Farhan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  39. 39.Dev works twice as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  40. 40.Karan can finish a job in 30 days and Kabir in 12 days. Karan works alone for 20 days and then stops. Kabir finishes the rest. How many days does Kabir take?

Answer key

  1. 16/3
  2. 25/57
  3. 45/7
  4. 18
  5. 12
  6. 28/187
  7. 4
  8. 21
  9. 4
  10. 12
  11. 6
  12. 6
  13. 45
  14. 8/21
  15. 6
  16. 11
  17. 21/68
  18. 48
  19. 3
  20. 20
  21. 24/5
  22. 24
  23. 27
  24. 6
  25. 44/105
  26. 33
  27. 7
  28. 2
  29. 42
  30. 5/2
  31. 80/13
  32. 15
  33. 12
  34. 15/8
  35. 7/20
  36. 5/2
  37. 66/85
  38. 15
  39. 12
  40. 4

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