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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 119 · 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.Nisha can finish a job in 28 days and Dev in 8 days. Nisha works alone for 14 days and then stops. Dev finishes the rest. How many days does Dev take?
  2. 2.Zoya works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  3. 3.Tara works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  4. 4.Dev can finish a job in 16 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Manav can finish a job in 13 days and Karan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Pooja can finish a job in 5 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. =
  7. 7.Kavya can finish a job in 5 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Priya can finish a job in 5 days and Sneha in 20 days. Priya works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  9. 9.Priya can finish a job in 14 days and Diya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Meera can finish a job in 18 days and Vivaan in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Kavya can finish a job in 4 days and Arjun in 14 days. Kavya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Aditya and Aarav together finish a job in 4 days. Aditya alone takes 6 days. How many days would Aarav take alone?
  13. 13.Saanvi can finish a job in 20 days and Aarav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Kavya works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  15. 15.Zoya can finish a job in 5 days and Meera in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Manav works three times as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  17. 17.Isha can finish a job in 9 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Isha and Diya together finish a job in 2 days. Isha alone takes 3 days. How many days would Diya take alone?
  19. 19.Kabir can finish a job in 9 days and Tara in 18 days. Kabir works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  20. 20.Aarav works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  21. 21.Ishaan can finish a job in 6 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Vivaan can finish a job in 14 days and Priya in 21 days. Vivaan works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  23. 23.Rohan can finish a job in 9 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Zoya can finish a job in 19 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Ishaan can finish a job in 12 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rahul and Meera together finish a job in 12 days. Rahul alone takes 15 days. How many days would Meera take alone?
  27. 27.Dev can finish a job in 7 days and Diya in 14 days. Dev works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  28. 28.Ananya works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  29. 29.Ishaan can finish a job in 18 days and Pooja in 9 days. Ishaan works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Karan works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  31. 31.Sneha can finish a job in 4 days and Aarav in 16 days. Sneha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  32. 32.Aditya and Arjun together finish a job in 8 days. Aditya alone takes 12 days. How many days would Arjun take alone?
  33. 33.Aarav can finish a job in 18 days and Saanvi in 16 days. Aarav works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  34. 34.Manav and Sneha together finish a job in 2 days. Manav alone takes 4 days. How many days would Sneha take alone?
  35. 35.Diya can finish a job in 13 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kabir can finish a job in 14 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Kabir can finish a job in 10 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rahul can finish a job in 10 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Rahul can finish a job in 13 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Isha and Diya together finish a job in 9 days. Isha alone takes 18 days. How many days would Diya take alone?

Answer key

  1. 4
  2. 32
  3. 12
  4. 16/5
  5. 182/27
  6. 70/19
  7. 95/24
  8. 4
  9. 13/28
  10. 11/12
  11. 7
  12. 12
  13. 15/2
  14. 36
  15. 1/4
  16. 40
  17. 13/36
  18. 6
  19. 2
  20. 20
  21. 7/8
  22. 15
  23. 1/6
  24. 78/133
  25. 36/7
  26. 60
  27. 2
  28. 20
  29. 7
  30. 16
  31. 8
  32. 24
  33. 8
  34. 4
  35. 208/29
  36. 33/266
  37. 170/27
  38. 5/3
  39. 24/143
  40. 18

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