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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 442 · 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.Nisha can finish a job in 15 days and Priya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Pooja can finish a job in 8 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Ishaan and Isha together finish a job in 8 days. Ishaan alone takes 10 days. How many days would Isha take alone?
  4. 4.Rohan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  5. 5.Rohan and Manav together finish a job in 3 days. Rohan alone takes 6 days. How many days would Manav take alone?
  6. 6.Dev works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  7. 7.Arjun and Diya together finish a job in 2 days. Arjun alone takes 3 days. How many days would Diya take alone?
  8. 8.Diya works three times as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  9. 9.Arjun can finish a job in 13 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Aarav and Vivaan together finish a job in 9 days. Aarav alone takes 18 days. How many days would Vivaan take alone?
  11. 11.Diya works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  12. 12.Pooja can finish a job in 18 days and Ishaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Kabir can finish a job in 4 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Meera works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  15. 15.Farhan can finish a job in 6 days and Aditya in 12 days. Farhan works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  16. 16.Sneha works twice as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  17. 17.Kabir can finish a job in 10 days and Aditya in 30 days. Kabir works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  18. 18.Saanvi can finish a job in 20 days and Meera in 30 days. Saanvi works alone for 18 days and then stops. Meera finishes the rest. How many days does Meera take?
  19. 19.Ananya can finish a job in 7 days and Kavya in 21 days. Ananya works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  20. 20.Nisha and Priya together finish a job in 2 days. Nisha alone takes 4 days. How many days would Priya take alone?
  21. 21.Pooja can finish a job in 13 days and Dev in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Nisha and Arjun together finish a job in 10 days. Nisha alone takes 20 days. How many days would Arjun take alone?
  23. 23.Nisha can finish a job in 19 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Diya can finish a job in 7 days and Kabir in 21 days. Diya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  25. 25.Meera can finish a job in 18 days and Rahul in 6 days. Meera works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  26. 26.Zoya can finish a job in 14 days and Aditya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Nisha and Aditya together finish a job in 2 days. Nisha alone takes 6 days. How many days would Aditya take alone?
  28. 28.Zoya can finish a job in 8 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. =
  29. 29.Kabir can finish a job in 10 days and Karan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Karan can finish a job in 8 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Isha works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  32. 32.Priya can finish a job in 9 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ishaan can finish a job in 5 days and Meera in 10 days. Ishaan works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  34. 34.Karan can finish a job in 8 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Sneha works twice as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  36. 36.Arjun works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  37. 37.Karan can finish a job in 10 days and Tara in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Aarav can finish a job in 4 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan can finish a job in 19 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Meera can finish a job in 14 days and Kabir in 10 days. Meera works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?

Answer key

  1. 7/20
  2. 23/40
  3. 40
  4. 12
  5. 6
  6. 8
  7. 6
  8. 12
  9. 36/65
  10. 18
  11. 32
  12. 45/7
  13. 3/8
  14. 15
  15. 2
  16. 6
  17. 18
  18. 3
  19. 3
  20. 4
  21. 87/208
  22. 20
  23. 95/24
  24. 15
  25. 1
  26. 28/9
  27. 3
  28. 8/3
  29. 1/6
  30. 3/4
  31. 33
  32. 6
  33. 4
  34. 24/11
  35. 24
  36. 8
  37. 21/110
  38. 12/5
  39. 323/36
  40. 5

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