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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 412 · 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.Dev can finish a job in 7 days and Sneha in 28 days. Dev works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  2. 2.Kavya can finish a job in 3 days and Karan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Isha can finish a job in 10 days and Diya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Karan and Dev together finish a job in 3 days. Karan alone takes 4 days. How many days would Dev take alone?
  5. 5.Arjun can finish a job in 9 days and Manav in 18 days. Arjun works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  6. 6.Aditya can finish a job in 6 days and Arjun in 4 days. Aditya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  7. 7.Pooja can finish a job in 9 days and Diya in 12 days. Pooja works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  8. 8.Manav can finish a job in 5 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Arjun can finish a job in 21 days and Nisha in 7 days. Arjun works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  10. 10.Tara can finish a job in 10 days and Dev in 25 days. Tara works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  11. 11.Ananya can finish a job in 8 days and Zoya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Saanvi can finish a job in 2 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya and Saanvi together finish a job in 7 days. Zoya alone takes 8 days. How many days would Saanvi take alone?
  14. 14.Farhan can finish a job in 20 days and Ananya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Diya can finish a job in 4 days and Saanvi in 16 days. Diya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  16. 16.Meera and Dev together finish a job in 2 days. Meera alone takes 3 days. How many days would Dev take alone?
  17. 17.Ananya works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  18. 18.Kabir can finish a job in 9 days and Tara in 27 days. Kabir works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  19. 19.Aditya can finish a job in 16 days and Isha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Pooja can finish a job in 14 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. =
  21. 21.Tara and Ishaan together finish a job in 3 days. Tara alone takes 6 days. How many days would Ishaan take alone?
  22. 22.Pooja can finish a job in 14 days and Diya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Diya can finish a job in 7 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Priya works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  25. 25.Kabir works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  26. 26.Ishaan works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  27. 27.Kabir can finish a job in 16 days and Zoya in 12 days. Kabir works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Aditya can finish a job in 15 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Vivaan can finish a job in 7 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Ishaan can finish a job in 18 days and Dev in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Farhan can finish a job in 7 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Manav can finish a job in 9 days and Isha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Priya can finish a job in 6 days and Zoya in 12 days. Priya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  34. 34.Diya can finish a job in 4 days and Kavya in 22 days. Diya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Tara can finish a job in 20 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Farhan and Rahul together finish a job in 2 days. Farhan alone takes 3 days. How many days would Rahul take alone?
  37. 37.Sneha can finish a job in 3 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Kabir and Aarav together finish a job in 5 days. Kabir alone takes 30 days. How many days would Aarav take alone?
  39. 39.Dev can finish a job in 5 days and Rahul in 10 days. Dev works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  40. 40.Dev can finish a job in 19 days and Rahul in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 20
  2. 12/5
  3. 7/10
  4. 12
  5. 14
  6. 2
  7. 4
  8. 21/80
  9. 5
  10. 20
  11. 27/152
  12. 6/5
  13. 56
  14. 40/7
  15. 4
  16. 6
  17. 12
  18. 3
  19. 15/112
  20. 112/15
  21. 6
  22. 25/77
  23. 13/21
  24. 32
  25. 36
  26. 15
  27. 9
  28. 30/7
  29. 9/14
  30. 29/99
  31. 91/20
  32. 8/45
  33. 2
  34. 11
  35. 60/13
  36. 6
  37. 12/5
  38. 6
  39. 8
  40. 190/29

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