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Time and Work Worksheet

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

Answer key

  1. 165/26
  2. 5/12
  3. 84/13
  4. 126/23
  5. 12
  6. 20
  7. 3/4
  8. 60/13
  9. 11/60
  10. 16/5
  11. 11/12
  12. 1/2
  13. 20
  14. 12
  15. 8
  16. 19/78
  17. 12
  18. 6
  19. 5
  20. 1/4
  21. 27
  22. 85/22
  23. 42
  24. 70/19
  25. 10
  26. 99/20
  27. 36
  28. 24
  29. 72/13
  30. 2
  31. 19/35
  32. 12
  33. 20
  34. 40
  35. 16
  36. 56/11
  37. 6
  38. 198/29
  39. 10
  40. 5

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