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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 297 · 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.Isha can finish a job in 18 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Ananya can finish a job in 8 days and Vivaan in 28 days. Ananya works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  3. 3.Rahul can finish a job in 8 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Ishaan can finish a job in 14 days and Saanvi in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Kabir works three times as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  6. 6.Ishaan works three times as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  7. 7.Ananya can finish a job in 16 days and Tara in 14 days. Ananya works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  8. 8.Pooja works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  9. 9.Dev can finish a job in 8 days and Diya in 30 days. Dev works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  10. 10.Kavya can finish a job in 5 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Sneha can finish a job in 14 days and Diya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Vivaan can finish a job in 6 days and Dev in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Sneha can finish a job in 9 days and Nisha in 18 days. Sneha works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  14. 14.Rohan and Tara together finish a job in 9 days. Rohan alone takes 10 days. How many days would Tara take alone?
  15. 15.Saanvi can finish a job in 7 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Sneha can finish a job in 18 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ishaan and Vivaan together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Vivaan take alone?
  18. 18.Priya can finish a job in 7 days and Kavya in 14 days. Priya works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  19. 19.Aditya can finish a job in 16 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Pooja can finish a job in 30 days and Aarav in 20 days. Pooja works alone for 27 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  21. 21.Manav and Zoya together finish a job in 18 days. Manav alone takes 24 days. How many days would Zoya take alone?
  22. 22.Vivaan and Isha together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Isha take alone?
  23. 23.Vivaan and Karan together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Karan take alone?
  24. 24.Saanvi works three times as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  25. 25.Farhan can finish a job in 19 days and Tara in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Priya and Manav together finish a job in 7 days. Priya alone takes 14 days. How many days would Manav take alone?
  27. 27.Tara can finish a job in 6 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Diya can finish a job in 14 days and Rahul in 7 days. Diya works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  29. 29.Pooja can finish a job in 8 days and Zoya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Manav can finish a job in 12 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Rahul can finish a job in 20 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aditya can finish a job in 16 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan and Saanvi together finish a job in 5 days. Rohan alone takes 6 days. How many days would Saanvi take alone?
  34. 34.Manav can finish a job in 9 days and Aarav in 18 days. Manav works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  35. 35.Karan and Arjun together finish a job in 12 days. Karan alone takes 24 days. How many days would Arjun take alone?
  36. 36.Kabir can finish a job in 17 days and Diya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Nisha can finish a job in 11 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Arjun works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  39. 39.Aditya and Vivaan together finish a job in 3 days. Aditya alone takes 4 days. How many days would Vivaan take alone?
  40. 40.Pooja can finish a job in 15 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 23/45
  2. 21
  3. 25/136
  4. 7/4
  5. 40
  6. 32
  7. 7
  8. 8
  9. 15
  10. 95/24
  11. 9/14
  12. 13/21
  13. 16
  14. 90
  15. 133/26
  16. 9/5
  17. 12
  18. 8
  19. 208/29
  20. 2
  21. 72
  22. 20
  23. 6
  24. 16
  25. 37/171
  26. 14
  27. 78/19
  28. 5
  29. 40/7
  30. 13/28
  31. 40/7
  32. 16/9
  33. 30
  34. 12
  35. 24
  36. 72/119
  37. 81/176
  38. 12
  39. 12
  40. 5/2

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