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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 258 · 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.Farhan can finish a job in 16 days and Karan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Kabir works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  3. 3.Aditya and Zoya together finish a job in 14 days. Aditya alone takes 28 days. How many days would Zoya take alone?
  4. 4.Priya can finish a job in 20 days and Sneha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ishaan works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  6. 6.Kavya can finish a job in 4 days and Kabir in 12 days. Kavya works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  7. 7.Diya can finish a job in 26 days and Karan in 24 days. Diya works alone for 13 days and then stops. Karan finishes the rest. How many days does Karan take?
  8. 8.Saanvi works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  9. 9.Rahul and Zoya together finish a job in 6 days. Rahul alone takes 8 days. How many days would Zoya take alone?
  10. 10.Saanvi and Sneha together finish a job in 8 days. Saanvi alone takes 10 days. How many days would Sneha take alone?
  11. 11.Arjun can finish a job in 5 days and Sneha in 20 days. Arjun works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  12. 12.Diya can finish a job in 5 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Ananya works twice as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  14. 14.Zoya and Arjun together finish a job in 7 days. Zoya alone takes 14 days. How many days would Arjun take alone?
  15. 15.Kabir works three times as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  16. 16.Diya can finish a job in 6 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Saanvi can finish a job in 4 days and Sneha in 8 days. Saanvi works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  18. 18.Priya and Vivaan together finish a job in 14 days. Priya alone takes 21 days. How many days would Vivaan take alone?
  19. 19.Priya can finish a job in 5 days and Nisha in 10 days. Priya works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  20. 20.Farhan works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  21. 21.Farhan can finish a job in 4 days and Dev in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Zoya and Nisha together finish a job in 8 days. Zoya alone takes 9 days. How many days would Nisha take alone?
  23. 23.Sneha can finish a job in 10 days and Vivaan in 6 days. Sneha works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  24. 24.Priya can finish a job in 6 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. =
  25. 25.Kabir can finish a job in 19 days and Karan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Priya can finish a job in 7 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Pooja and Aarav together finish a job in 4 days. Pooja alone takes 6 days. How many days would Aarav take alone?
  28. 28.Zoya and Isha together finish a job in 2 days. Zoya alone takes 6 days. How many days would Isha take alone?
  29. 29.Pooja works three times as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  30. 30.Nisha can finish a job in 15 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav can finish a job in 15 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Kavya and Rahul together finish a job in 16 days. Kavya alone takes 20 days. How many days would Rahul take alone?
  33. 33.Ananya can finish a job in 8 days and Meera in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aditya can finish a job in 5 days and Priya in 30 days. Aditya works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  35. 35.Saanvi can finish a job in 16 days and Priya in 17 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 7 days and Dev in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Ananya can finish a job in 14 days and Aditya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Manav works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  39. 39.Aarav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  40. 40.Meera and Kabir together finish a job in 7 days. Meera alone takes 8 days. How many days would Kabir take alone?

Answer key

  1. 31/120
  2. 12
  3. 28
  4. 80/9
  5. 6
  6. 9
  7. 12
  8. 9
  9. 24
  10. 40
  11. 4
  12. 9/20
  13. 24
  14. 14
  15. 44
  16. 15/4
  17. 4
  18. 42
  19. 8
  20. 32
  21. 3/4
  22. 72
  23. 3
  24. 3/2
  25. 25/38
  26. 12/35
  27. 12
  28. 3
  29. 24
  30. 60/19
  31. 30/7
  32. 80
  33. 40/9
  34. 18
  35. 272/33
  36. 27/140
  37. 27/28
  38. 30
  39. 36
  40. 56

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