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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 296 · 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.Kabir can finish a job in 8 days and Tara in 16 days. Kabir works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  2. 2.Zoya and Sneha together finish a job in 15 days. Zoya alone takes 24 days. How many days would Sneha take alone?
  3. 3.Kabir can finish a job in 4 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Dev can finish a job in 10 days and Karan in 20 days. Dev works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  5. 5.Tara works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  6. 6.Rohan can finish a job in 6 days and Pooja in 24 days. Rohan works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  7. 7.Saanvi and Manav together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Manav take alone?
  8. 8.Vivaan can finish a job in 15 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Kabir can finish a job in 30 days and Zoya in 15 days. Kabir works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  10. 10.Manav can finish a job in 15 days and Ananya in 18 days. Manav works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  11. 11.Aarav works three times as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  12. 12.Diya and Karan together finish a job in 6 days. Diya alone takes 8 days. How many days would Karan take alone?
  13. 13.Kavya can finish a job in 12 days and Kabir in 30 days. Kavya works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  14. 14.Rahul can finish a job in 13 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Nisha works twice as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  16. 16.Kavya works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  17. 17.Aarav and Kabir together finish a job in 6 days. Aarav alone takes 12 days. How many days would Kabir take alone?
  18. 18.Tara can finish a job in 12 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ananya can finish a job in 18 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Kabir can finish a job in 20 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Nisha and Kavya together finish a job in 6 days. Nisha alone takes 7 days. How many days would Kavya take alone?
  22. 22.Kabir can finish a job in 8 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Arjun and Farhan together finish a job in 2 days. Arjun alone takes 6 days. How many days would Farhan take alone?
  24. 24.Ishaan can finish a job in 5 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Farhan can finish a job in 30 days and Isha in 12 days. Farhan works alone for 25 days and then stops. Isha finishes the rest. How many days does Isha take?
  26. 26.Kavya works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  27. 27.Kabir can finish a job in 5 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Rahul can finish a job in 8 days and Ishaan in 24 days. Rahul works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  29. 29.Aarav and Rahul together finish a job in 2 days. Aarav alone takes 6 days. How many days would Rahul take alone?
  30. 30.Nisha and Saanvi together finish a job in 5 days. Nisha alone takes 6 days. How many days would Saanvi take alone?
  31. 31.Diya can finish a job in 6 days and Kavya in 30 days. Diya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  32. 32.Ananya can finish a job in 20 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Meera can finish a job in 7 days and Vivaan in 28 days. Meera works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  34. 34.Kabir can finish a job in 7 days and Rahul in 11 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 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ananya can finish a job in 16 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Farhan can finish a job in 6 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Sneha can finish a job in 18 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. =
  39. 39.Isha can finish a job in 17 days and Rahul in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Kabir and Arjun together finish a job in 4 days. Kabir alone takes 6 days. How many days would Arjun take alone?

Answer key

  1. 14
  2. 40
  3. 11/36
  4. 18
  5. 24
  6. 4
  7. 6
  8. 23/120
  9. 12
  10. 6
  11. 16
  12. 24
  13. 10
  14. 28/195
  15. 12
  16. 18
  17. 12
  18. 84/13
  19. 7/45
  20. 80/9
  21. 42
  22. 13/40
  23. 3
  24. 35/12
  25. 2
  26. 24
  27. 11/15
  28. 6
  29. 3
  30. 30
  31. 10
  32. 60/23
  33. 24
  34. 77/18
  35. 112/23
  36. 81/176
  37. 15/4
  38. 234/31
  39. 51/20
  40. 12

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