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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 320 · 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.Dev works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  2. 2.Ananya can finish a job in 6 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Arjun can finish a job in 18 days and Meera in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Ananya can finish a job in 10 days and Pooja in 5 days. Ananya works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  5. 5.Diya can finish a job in 2 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Nisha can finish a job in 8 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Nisha and Ishaan together finish a job in 4 days. Nisha alone takes 6 days. How many days would Ishaan take alone?
  8. 8.Zoya can finish a job in 6 days and Dev in 30 days. Zoya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  9. 9.Manav can finish a job in 2 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Karan and Arjun together finish a job in 14 days. Karan alone takes 28 days. How many days would Arjun take alone?
  11. 11.Karan works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  12. 12.Kavya and Isha together finish a job in 2 days. Kavya alone takes 4 days. How many days would Isha take alone?
  13. 13.Sneha can finish a job in 4 days and Vivaan in 16 days. Sneha works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  14. 14.Vivaan can finish a job in 10 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Zoya works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  16. 16.Priya can finish a job in 8 days and Manav in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Vivaan works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  18. 18.Manav works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  19. 19.Arjun and Sneha together finish a job in 8 days. Arjun alone takes 10 days. How many days would Sneha take alone?
  20. 20.Ananya can finish a job in 17 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Diya can finish a job in 10 days and Isha in 30 days. Diya works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  22. 22.Aditya can finish a job in 8 days and Rohan in 22 days. Aditya works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  23. 23.Kavya works twice as fast as Farhan. Together they finish a job in 8 days. How many days would Farhan take alone?
  24. 24.Ishaan can finish a job in 18 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Arjun can finish a job in 12 days and Rohan in 9 days. Arjun works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  26. 26.Diya works three times as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  27. 27.Diya can finish a job in 12 days and Ananya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Karan can finish a job in 10 days and Rahul in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Tara can finish a job in 9 days and Kavya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Ananya can finish a job in 17 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. =
  31. 31.Aditya can finish a job in 6 days and Diya in 30 days. Aditya works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
  32. 32.Ishaan can finish a job in 8 days and Priya in 4 days. Ishaan works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  33. 33.Diya works three times as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  34. 34.Ananya can finish a job in 8 days and Manav in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Ananya can finish a job in 24 days and Kabir in 28 days. Ananya works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  36. 36.Saanvi can finish a job in 15 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Arjun can finish a job in 8 days and Aarav in 20 days. Arjun works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  38. 38.Sneha works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  39. 39.Ananya can finish a job in 7 days and Karan in 2 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 5 days and Isha in 20 days. Ananya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?

Answer key

  1. 12
  2. 7/15
  3. 1/2
  4. 3
  5. 22/13
  6. 72/13
  7. 12
  8. 10
  9. 34/19
  10. 28
  11. 27
  12. 4
  13. 4
  14. 60/11
  15. 21
  16. 21/52
  17. 33
  18. 30
  19. 40
  20. 85/22
  21. 9
  22. 11
  23. 24
  24. 13/36
  25. 3
  26. 28
  27. 204/29
  28. 35/6
  29. 117/22
  30. 68/21
  31. 5
  32. 3
  33. 24
  34. 17/24
  35. 21
  36. 120/23
  37. 5
  38. 15
  39. 14/9
  40. 8

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