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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 383 · 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.Karan can finish a job in 4 days and Saanvi in 20 days. Karan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  2. 2.Rohan works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  3. 3.Dev can finish a job in 12 days and Aarav in 4 days. Dev works alone for 9 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  4. 4.Kavya and Vivaan together finish a job in 4 days. Kavya alone takes 6 days. How many days would Vivaan take alone?
  5. 5.Meera and Arjun together finish a job in 6 days. Meera alone takes 8 days. How many days would Arjun take alone?
  6. 6.Aditya can finish a job in 13 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Nisha can finish a job in 20 days and Farhan in 30 days. Nisha works alone for 6 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  8. 8.Vivaan can finish a job in 21 days and Manav in 14 days. Vivaan works alone for 12 days and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Ananya can finish a job in 6 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kavya can finish a job in 4 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ishaan can finish a job in 18 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya can finish a job in 18 days and Rahul in 6 days. Priya works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  13. 13.Ananya can finish a job in 4 days and Aditya in 16 days. Ananya works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  14. 14.Nisha and Aditya together finish a job in 6 days. Nisha alone takes 8 days. How many days would Aditya take alone?
  15. 15.Kabir can finish a job in 14 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Diya can finish a job in 5 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Aarav can finish a job in 20 days and Kavya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Dev and Zoya together finish a job in 18 days. Dev alone takes 24 days. How many days would Zoya take alone?
  19. 19.Dev can finish a job in 14 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Isha works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  21. 21.Zoya can finish a job in 10 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rahul works three times as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  23. 23.Ishaan can finish a job in 17 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Kabir can finish a job in 10 days and Isha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Kavya can finish a job in 13 days and Dev in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Pooja can finish a job in 7 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Isha can finish a job in 6 days and Vivaan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Diya can finish a job in 12 days and Ishaan in 30 days. Diya works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  29. 29.Ishaan can finish a job in 4 days and Diya in 6 days. Ishaan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  30. 30.Vivaan can finish a job in 16 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Isha and Dev together finish a job in 7 days. Isha alone takes 14 days. How many days would Dev take alone?
  32. 32.Karan can finish a job in 7 days and Meera in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Ananya and Saanvi together finish a job in 2 days. Ananya alone takes 3 days. How many days would Saanvi take alone?
  34. 34.Diya and Aarav together finish a job in 6 days. Diya alone takes 9 days. How many days would Aarav take alone?
  35. 35.Sneha works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  36. 36.Kavya can finish a job in 7 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Manav can finish a job in 11 days and Isha in 22 days. Manav works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  38. 38.Arjun and Nisha together finish a job in 14 days. Arjun alone takes 18 days. How many days would Nisha take alone?
  39. 39.Karan and Meera together finish a job in 2 days. Karan alone takes 4 days. How many days would Meera take alone?
  40. 40.Arjun can finish a job in 5 days and Pooja in 30 days. Arjun works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?

Answer key

  1. 15
  2. 27
  3. 1
  4. 12
  5. 24
  6. 208/29
  7. 21
  8. 6
  9. 3/2
  10. 36/11
  11. 234/31
  12. 2
  13. 4
  14. 24
  15. 112/15
  16. 12/35
  17. 380/39
  18. 72
  19. 17/70
  20. 12
  21. 90/19
  22. 20
  23. 24/119
  24. 4/15
  25. 20/91
  26. 3/7
  27. 2/9
  28. 5
  29. 3
  30. 112/15
  31. 14
  32. 19/28
  33. 6
  34. 18
  35. 32
  36. 35/12
  37. 8
  38. 63
  39. 4
  40. 6

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