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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 198 · 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.Tara can finish a job in 2 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara can finish a job in 6 days and Saanvi in 26 days. Tara works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  3. 3.Farhan can finish a job in 19 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Ananya and Kabir together finish a job in 3 days. Ananya alone takes 4 days. How many days would Kabir take alone?
  5. 5.Ananya can finish a job in 6 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Sneha can finish a job in 18 days and Nisha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Tara works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  8. 8.Tara works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  9. 9.Zoya can finish a job in 18 days and Diya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Kavya and Ananya together finish a job in 2 days. Kavya alone takes 3 days. How many days would Ananya take alone?
  11. 11.Ananya works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  12. 12.Arjun can finish a job in 30 days and Kabir in 10 days. Arjun works alone for 24 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  13. 13.Sneha and Isha together finish a job in 2 days. Sneha alone takes 3 days. How many days would Isha take alone?
  14. 14.Arjun works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  15. 15.Arjun and Kavya together finish a job in 3 days. Arjun alone takes 4 days. How many days would Kavya take alone?
  16. 16.Farhan can finish a job in 5 days and Zoya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 3 days. How many days would Aditya take alone?
  18. 18.Rahul can finish a job in 5 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Nisha works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  20. 20.Meera can finish a job in 19 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Meera can finish a job in 10 days and Arjun in 20 days. Meera works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  22. 22.Diya can finish a job in 4 days and Pooja in 6 days. Diya works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  23. 23.Rahul and Farhan together finish a job in 8 days. Rahul alone takes 12 days. How many days would Farhan take alone?
  24. 24.Kabir can finish a job in 15 days and Sneha in 5 days. Kabir works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  25. 25.Saanvi can finish a job in 7 days and Vivaan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Arjun can finish a job in 6 days and Aarav in 22 days. Arjun works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  27. 27.Tara can finish a job in 20 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rahul can finish a job in 12 days and Diya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Aarav can finish a job in 2 days and Dev in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Sneha and Arjun together finish a job in 14 days. Sneha alone takes 21 days. How many days would Arjun take alone?
  31. 31.Tara works twice as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  32. 32.Rohan and Manav together finish a job in 18 days. Rohan alone takes 30 days. How many days would Manav take alone?
  33. 33.Meera works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  34. 34.Dev can finish a job in 15 days and Manav in 24 days. Dev works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
  35. 35.Isha can finish a job in 6 days and Dev in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Vivaan can finish a job in 7 days and Kavya in 21 days. Vivaan works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  37. 37.Aarav and Ishaan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Ishaan take alone?
  38. 38.Kabir can finish a job in 17 days and Tara in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya and Aarav together finish a job in 3 days. Ananya alone takes 4 days. How many days would Aarav take alone?
  40. 40.Ishaan can finish a job in 14 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 3/2
  2. 13
  3. 76/23
  4. 12
  5. 1/4
  6. 36/5
  7. 36
  8. 16
  9. 5/12
  10. 6
  11. 16
  12. 2
  13. 6
  14. 16
  15. 12
  16. 3/5
  17. 6
  18. 24/35
  19. 30
  20. 25/114
  21. 6
  22. 3
  23. 24
  24. 1
  25. 27/140
  26. 11
  27. 140/17
  28. 29/204
  29. 22/13
  30. 42
  31. 27
  32. 45
  33. 48
  34. 16
  35. 5/21
  36. 12
  37. 6
  38. 34/19
  39. 12
  40. 21/5

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