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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 452 · 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 works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  2. 2.Sneha can finish a job in 9 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Diya can finish a job in 11 days and Isha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Ishaan and Tara together finish a job in 15 days. Ishaan alone takes 30 days. How many days would Tara take alone?
  5. 5.Manav can finish a job in 16 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. =
  6. 6.Rahul and Zoya together finish a job in 2 days. Rahul alone takes 4 days. How many days would Zoya take alone?
  7. 7.Pooja can finish a job in 8 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Kavya works twice as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  9. 9.Arjun can finish a job in 15 days and Saanvi in 5 days. Arjun works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  10. 10.Meera can finish a job in 5 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Manav and Kabir together finish a job in 12 days. Manav alone takes 18 days. How many days would Kabir take alone?
  12. 12.Aarav and Zoya together finish a job in 6 days. Aarav alone takes 7 days. How many days would Zoya take alone?
  13. 13.Kavya and Manav together finish a job in 12 days. Kavya alone takes 20 days. How many days would Manav take alone?
  14. 14.Vivaan works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  15. 15.Saanvi can finish a job in 11 days and Rohan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Zoya and Tara together finish a job in 8 days. Zoya alone takes 10 days. How many days would Tara take alone?
  17. 17.Meera and Rahul together finish a job in 4 days. Meera alone takes 12 days. How many days would Rahul take alone?
  18. 18.Aarav can finish a job in 28 days and Sneha in 7 days. Aarav works alone for 24 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  19. 19.Aarav and Manav together finish a job in 2 days. Aarav alone takes 3 days. How many days would Manav take alone?
  20. 20.Manav and Ananya together finish a job in 6 days. Manav alone takes 9 days. How many days would Ananya take alone?
  21. 21.Tara and Diya together finish a job in 6 days. Tara alone takes 15 days. How many days would Diya take alone?
  22. 22.Pooja and Kabir together finish a job in 2 days. Pooja alone takes 6 days. How many days would Kabir take alone?
  23. 23.Zoya can finish a job in 20 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Manav can finish a job in 17 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Karan works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  26. 26.Ananya works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  27. 27.Vivaan works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  28. 28.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 4 days. How many days would Aditya take alone?
  29. 29.Meera can finish a job in 3 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Sneha and Dev together finish a job in 5 days. Sneha alone takes 6 days. How many days would Dev take alone?
  31. 31.Vivaan and Nisha together finish a job in 8 days. Vivaan alone takes 10 days. How many days would Nisha take alone?
  32. 32.Ananya can finish a job in 6 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ishaan and Arjun together finish a job in 6 days. Ishaan alone takes 18 days. How many days would Arjun take alone?
  34. 34.Sneha can finish a job in 14 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Pooja can finish a job in 14 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Manav works three times as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  37. 37.Saanvi works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  38. 38.Kabir can finish a job in 13 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aditya works twice as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  40. 40.Diya can finish a job in 11 days and Nisha in 22 days. Diya works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?

Answer key

  1. 12
  2. 13/36
  3. 16/55
  4. 30
  5. 304/35
  6. 4
  7. 72/13
  8. 6
  9. 4
  10. 44/85
  11. 36
  12. 42
  13. 30
  14. 27
  15. 88/19
  16. 40
  17. 6
  18. 1
  19. 6
  20. 18
  21. 10
  22. 3
  23. 7/20
  24. 21/68
  25. 21
  26. 8
  27. 44
  28. 4
  29. 33/14
  30. 30
  31. 40
  32. 2
  33. 9
  34. 210/29
  35. 33/56
  36. 20
  37. 12
  38. 260/33
  39. 6
  40. 8

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