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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 489 · 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.Aarav can finish a job in 7 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Vivaan can finish a job in 16 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Saanvi can finish a job in 20 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Dev can finish a job in 13 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Aditya works three times as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
  6. 6.Manav works twice as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  7. 7.Arjun works three times as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  8. 8.Rohan and Farhan together finish a job in 5 days. Rohan alone takes 6 days. How many days would Farhan take alone?
  9. 9.Priya can finish a job in 6 days and Rohan in 4 days. Priya works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  10. 10.Arjun works three times as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  11. 11.Isha can finish a job in 9 days and Dev in 18 days. Isha works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  12. 12.Meera can finish a job in 6 days and Kavya in 28 days. Meera works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  13. 13.Isha can finish a job in 16 days and Pooja in 24 days. Isha works alone for 14 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  14. 14.Farhan and Dev together finish a job in 12 days. Farhan alone takes 16 days. How many days would Dev take alone?
  15. 15.Kavya can finish a job in 17 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Pooja works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  17. 17.Ishaan works three times as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
  18. 18.Aditya works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  19. 19.Aditya works twice as fast as Tara. Together they finish a job in 8 days. How many days would Tara take alone?
  20. 20.Diya works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  21. 21.Aditya works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  22. 22.Ishaan and Sneha together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Sneha take alone?
  23. 23.Diya can finish a job in 2 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Vivaan can finish a job in 20 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya works three times as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  26. 26.Karan can finish a job in 16 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Diya can finish a job in 30 days and Aditya in 6 days. Diya works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  28. 28.Zoya can finish a job in 6 days and Nisha in 12 days. Zoya works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  29. 29.Aditya works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  30. 30.Kavya can finish a job in 6 days and Arjun in 16 days. Kavya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Rohan can finish a job in 2 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Isha can finish a job in 5 days and Rohan in 10 days. Isha works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  33. 33.Dev and Ishaan together finish a job in 4 days. Dev alone takes 6 days. How many days would Ishaan take alone?
  34. 34.Ananya can finish a job in 20 days and Diya in 15 days. Ananya works alone for 8 days and then stops. Diya finishes the rest. How many days does Diya take?
  35. 35.Aarav can finish a job in 15 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Meera can finish a job in 18 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Arjun works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  38. 38.Dev can finish a job in 15 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya can finish a job in 7 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Nisha and Tara together finish a job in 7 days. Nisha alone takes 8 days. How many days would Tara take alone?

Answer key

  1. 28/11
  2. 25/144
  3. 3/10
  4. 247/32
  5. 32
  6. 18
  7. 12
  8. 30
  9. 2
  10. 48
  11. 2
  12. 14
  13. 3
  14. 48
  15. 102/23
  16. 16
  17. 36
  18. 6
  19. 24
  20. 36
  21. 36
  22. 12
  23. 8/5
  24. 180/19
  25. 16
  26. 11/24
  27. 5
  28. 2
  29. 44
  30. 8
  31. 22/13
  32. 2
  33. 12
  34. 9
  35. 31/120
  36. 35/153
  37. 21
  38. 6
  39. 36/77
  40. 56

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