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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 503 · 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.Manav can finish a job in 13 days and Kabir in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kabir can finish a job in 8 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Rahul can finish a job in 17 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Rohan can finish a job in 16 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Vivaan can finish a job in 15 days and Kavya in 20 days. Vivaan works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  6. 6.Manav and Ananya together finish a job in 14 days. Manav alone takes 28 days. How many days would Ananya take alone?
  7. 7.Kabir and Priya together finish a job in 2 days. Kabir alone takes 3 days. How many days would Priya take alone?
  8. 8.Aditya works twice as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
  9. 9.Isha works three times as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  10. 10.Sneha works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  11. 11.Karan works twice as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  12. 12.Kabir can finish a job in 9 days and Ananya in 6 days. Kabir works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  13. 13.Rohan can finish a job in 19 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Kabir can finish a job in 15 days and Kavya in 25 days. Kabir works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Nisha works twice as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  16. 16.Dev can finish a job in 7 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Dev and Diya together finish a job in 4 days. Dev alone takes 8 days. How many days would Diya take alone?
  18. 18.Vivaan can finish a job in 9 days and Ishaan in 27 days. Vivaan works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  19. 19.Aditya works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  20. 20.Pooja works three times as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  21. 21.Rohan works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  22. 22.Farhan can finish a job in 17 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Rohan can finish a job in 10 days and Tara in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Arjun can finish a job in 18 days and Aditya in 11 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 20 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Karan works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  27. 27.Isha can finish a job in 12 days and Zoya in 21 days. Isha works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Isha can finish a job in 14 days and Priya in 22 days. Isha works alone for 7 days and then stops. Priya finishes the rest. How many days does Priya take?
  29. 29.Nisha can finish a job in 16 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Arjun and Dev together finish a job in 5 days. Arjun alone takes 6 days. How many days would Dev take alone?
  31. 31.Aarav can finish a job in 8 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Priya works three times as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  33. 33.Dev can finish a job in 8 days and Tara in 28 days. Dev works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  34. 34.Arjun can finish a job in 6 days and Tara in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Isha and Manav together finish a job in 3 days. Isha alone takes 12 days. How many days would Manav take alone?
  36. 36.Arjun can finish a job in 14 days and Ishaan in 21 days. Arjun works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  37. 37.Vivaan and Meera together finish a job in 10 days. Vivaan alone takes 15 days. How many days would Meera take alone?
  38. 38.Arjun works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  39. 39.Meera can finish a job in 16 days and Isha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Dev works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?

Answer key

  1. 208/29
  2. 17/36
  3. 35/102
  4. 272/33
  5. 16
  6. 28
  7. 6
  8. 33
  9. 44
  10. 12
  11. 30
  12. 4
  13. 96/247
  14. 15
  15. 15
  16. 21/10
  17. 8
  18. 9
  19. 12
  20. 12
  21. 30
  22. 24/119
  23. 70/17
  24. 198/29
  25. 27/70
  26. 9
  27. 14
  28. 11
  29. 27/176
  30. 30
  31. 13/36
  32. 16
  33. 14
  34. 12/5
  35. 4
  36. 6
  37. 30
  38. 12
  39. 304/35
  40. 48

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