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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 443 · 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.Manav and Kabir together finish a job in 7 days. Manav alone takes 14 days. How many days would Kabir take alone?
  2. 2.Priya and Dev together finish a job in 8 days. Priya alone takes 24 days. How many days would Dev take alone?
  3. 3.Priya can finish a job in 30 days and Isha in 10 days. Priya works alone for 15 days and then stops. Isha finishes the rest. How many days does Isha take?
  4. 4.Zoya can finish a job in 2 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Meera can finish a job in 14 days and Dev in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rohan can finish a job in 5 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Diya can finish a job in 13 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Nisha can finish a job in 6 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Vivaan can finish a job in 2 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. =
  10. 10.Aarav can finish a job in 15 days and Arjun in 20 days. Aarav works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  11. 11.Vivaan and Karan together finish a job in 4 days. Vivaan alone takes 12 days. How many days would Karan take alone?
  12. 12.Arjun and Tara together finish a job in 7 days. Arjun alone takes 8 days. How many days would Tara take alone?
  13. 13.Aditya can finish a job in 4 days and Tara in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Pooja can finish a job in 14 days and Arjun in 21 days. Pooja works alone for 12 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  15. 15.Manav can finish a job in 15 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aditya can finish a job in 17 days and Dev in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Rahul and Arjun together finish a job in 16 days. Rahul alone takes 24 days. How many days would Arjun take alone?
  18. 18.Kavya and Ishaan together finish a job in 2 days. Kavya alone takes 3 days. How many days would Ishaan take alone?
  19. 19.Meera works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  20. 20.Kabir and Tara together finish a job in 10 days. Kabir alone takes 14 days. How many days would Tara take alone?
  21. 21.Diya can finish a job in 16 days and Sneha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Vivaan works three times as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  23. 23.Karan works twice as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  24. 24.Aarav works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  25. 25.Ishaan can finish a job in 14 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Kavya can finish a job in 11 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Nisha can finish a job in 5 days and Dev in 10 days. Nisha works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  28. 28.Manav works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  29. 29.Kabir and Arjun together finish a job in 3 days. Kabir alone takes 4 days. How many days would Arjun take alone?
  30. 30.Kavya works three times as fast as Dev. Together they finish a job in 8 days. How many days would Dev take alone?
  31. 31.Dev can finish a job in 14 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rohan works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  33. 33.Vivaan can finish a job in 14 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Zoya can finish a job in 4 days and Saanvi in 12 days. Zoya works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  35. 35.Nisha works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  36. 36.Meera works twice as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  37. 37.Diya can finish a job in 12 days and Sneha in 24 days. Diya works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  38. 38.Karan and Ishaan together finish a job in 4 days. Karan alone takes 5 days. How many days would Ishaan take alone?
  39. 39.Meera can finish a job in 2 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ananya can finish a job in 2 days and Tara in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 14
  2. 12
  3. 5
  4. 6/5
  5. 154/25
  6. 17/60
  7. 52/17
  8. 2
  9. 4/3
  10. 16
  11. 6
  12. 56
  13. 11/12
  14. 3
  15. 15/4
  16. 75/136
  17. 48
  18. 6
  19. 16
  20. 35
  21. 48/7
  22. 44
  23. 15
  24. 6
  25. 27/28
  26. 63/110
  27. 2
  28. 12
  29. 12
  30. 32
  31. 56/11
  32. 36
  33. 19/35
  34. 6
  35. 9
  36. 18
  37. 16
  38. 20
  39. 12/7
  40. 20/11

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