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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 42 · 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.Rohan works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  2. 2.Tara works twice as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  3. 3.Kabir can finish a job in 9 days and Farhan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Tara and Vivaan together finish a job in 18 days. Tara alone takes 27 days. How many days would Vivaan take alone?
  5. 5.Arjun can finish a job in 20 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Ananya can finish a job in 16 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Isha can finish a job in 14 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Zoya can finish a job in 7 days and Kavya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Zoya and Pooja together finish a job in 8 days. Zoya alone takes 12 days. How many days would Pooja take alone?
  10. 10.Kabir and Ananya together finish a job in 2 days. Kabir alone takes 4 days. How many days would Ananya take alone?
  11. 11.Sneha works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  12. 12.Nisha works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  13. 13.Nisha and Karan together finish a job in 6 days. Nisha alone takes 8 days. How many days would Karan take alone?
  14. 14.Tara can finish a job in 19 days and Kavya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Diya and Karan together finish a job in 4 days. Diya alone takes 5 days. How many days would Karan take alone?
  16. 16.Priya can finish a job in 15 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ananya can finish a job in 10 days and Karan in 12 days. Ananya works alone for 5 days and then stops. Karan finishes the rest. How many days does Karan take?
  18. 18.Diya can finish a job in 8 days and Ananya in 20 days. Diya works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  19. 19.Ananya can finish a job in 9 days and Karan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Dev can finish a job in 5 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Tara works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
  22. 22.Arjun works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  23. 23.Saanvi and Ananya together finish a job in 6 days. Saanvi alone takes 18 days. How many days would Ananya take alone?
  24. 24.Saanvi works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  25. 25.Aditya works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  26. 26.Tara can finish a job in 11 days and Meera in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Manav can finish a job in 14 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Ishaan can finish a job in 14 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Dev and Sneha together finish a job in 2 days. Dev alone takes 3 days. How many days would Sneha take alone?
  30. 30.Rahul works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  31. 31.Tara can finish a job in 16 days and Ananya in 14 days. Tara works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  32. 32.Rahul and Priya together finish a job in 6 days. Rahul alone takes 8 days. How many days would Priya take alone?
  33. 33.Sneha can finish a job in 13 days and Aarav in 26 days. Sneha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  34. 34.Arjun can finish a job in 8 days and Rohan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kavya and Karan together finish a job in 2 days. Kavya alone takes 6 days. How many days would Karan take alone?
  36. 36.Dev can finish a job in 12 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Sneha and Nisha together finish a job in 4 days. Sneha alone takes 8 days. How many days would Nisha take alone?
  38. 38.Aditya can finish a job in 7 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Meera can finish a job in 10 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aditya works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?

Answer key

  1. 27
  2. 9
  3. 99/20
  4. 54
  5. 10/3
  6. 31/80
  7. 3/7
  8. 78/133
  9. 24
  10. 4
  11. 16
  12. 16
  13. 24
  14. 99/266
  15. 20
  16. 60/7
  17. 6
  18. 5
  19. 45/8
  20. 11/15
  21. 12
  22. 44
  23. 9
  24. 8
  25. 15
  26. 48/55
  27. 5/7
  28. 266/33
  29. 6
  30. 40
  31. 7
  32. 24
  33. 22
  34. 56/11
  35. 3
  36. 36/5
  37. 8
  38. 28/11
  39. 40/9
  40. 12

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