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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 329 · 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.Arjun works three times as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
  2. 2.Diya can finish a job in 7 days and Arjun in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ananya and Saanvi together finish a job in 8 days. Ananya alone takes 12 days. How many days would Saanvi take alone?
  4. 4.Kabir and Zoya together finish a job in 3 days. Kabir alone takes 6 days. How many days would Zoya take alone?
  5. 5.Kabir can finish a job in 8 days and Zoya in 10 days. Kabir works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  6. 6.Aditya can finish a job in 8 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Aditya can finish a job in 9 days and Sneha in 6 days. Aditya works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  8. 8.Meera can finish a job in 18 days and Aditya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Saanvi can finish a job in 17 days and Rohan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Pooja works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  11. 11.Aarav can finish a job in 4 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Manav works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  13. 13.Aarav can finish a job in 9 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Dev can finish a job in 2 days and Kavya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Ananya works three times as fast as Diya. Together they finish a job in 8 days. How many days would Diya take alone?
  16. 16.Arjun can finish a job in 16 days and Saanvi in 12 days. Arjun works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  17. 17.Diya can finish a job in 9 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Saanvi can finish a job in 30 days and Meera in 18 days. Saanvi works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  19. 19.Ishaan can finish a job in 12 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Arjun can finish a job in 4 days and Ananya in 26 days. Arjun works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  21. 21.Zoya can finish a job in 17 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Ananya can finish a job in 17 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Nisha can finish a job in 8 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Arjun and Kavya together finish a job in 2 days. Arjun alone takes 4 days. How many days would Kavya take alone?
  25. 25.Aditya can finish a job in 9 days and Kavya 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 9 days and Diya in 30 days. Pooja works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  27. 27.Sneha works three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
  28. 28.Kavya can finish a job in 4 days and Karan in 12 days. Kavya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  29. 29.Saanvi works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  30. 30.Vivaan can finish a job in 4 days and Dev in 16 days. Vivaan works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  31. 31.Diya can finish a job in 4 days and Sneha in 18 days. Diya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  32. 32.Karan can finish a job in 27 days and Isha in 9 days. Karan works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  33. 33.Arjun can finish a job in 17 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Manav works three times as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  35. 35.Sneha and Pooja together finish a job in 4 days. Sneha alone takes 20 days. How many days would Pooja take alone?
  36. 36.Saanvi can finish a job in 11 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Dev can finish a job in 18 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Sneha can finish a job in 10 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Isha and Tara together finish a job in 6 days. Isha alone takes 8 days. How many days would Tara take alone?
  40. 40.Ananya can finish a job in 6 days and Isha in 9 days. Ananya works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?

Answer key

  1. 40
  2. 70/17
  3. 24
  4. 6
  5. 5
  6. 8/5
  7. 2
  8. 19/90
  9. 37/170
  10. 21
  11. 12/7
  12. 24
  13. 45/8
  14. 34/19
  15. 32
  16. 6
  17. 45/8
  18. 12
  19. 7/16
  20. 13
  21. 102/23
  22. 306/35
  23. 40/13
  24. 4
  25. 16/63
  26. 10
  27. 48
  28. 3
  29. 15
  30. 8
  31. 9
  32. 7
  33. 29/68
  34. 48
  35. 5
  36. 220/31
  37. 23/30
  38. 35/6
  39. 24
  40. 3

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