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Time and Work Worksheet

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

Answer key

  1. 90/23
  2. 8
  3. 52/17
  4. 8
  5. 16
  6. 12/5
  7. 17/72
  8. 7/48
  9. 24
  10. 21
  11. 6
  12. 4
  13. 90/23
  14. 9/5
  15. 11/56
  16. 21
  17. 9
  18. 18
  19. 6
  20. 8
  21. 2
  22. 9
  23. 4
  24. 3
  25. 48
  26. 30/17
  27. 37/170
  28. 33
  29. 3
  30. 2
  31. 7/15
  32. 42/13
  33. 40
  34. 12
  35. 8
  36. 3
  37. 29/105
  38. 4
  39. 15
  40. 24

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