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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 147 · 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.Kabir works twice as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  2. 2.Tara works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  3. 3.Isha and Pooja together finish a job in 4 days. Isha alone takes 8 days. How many days would Pooja take alone?
  4. 4.Kabir and Rahul together finish a job in 4 days. Kabir alone takes 6 days. How many days would Rahul take alone?
  5. 5.Farhan can finish a job in 14 days and Arjun in 28 days. Farhan works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  6. 6.Priya can finish a job in 12 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ishaan can finish a job in 11 days and Kavya in 22 days. Ishaan works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  8. 8.Dev can finish a job in 20 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Kavya can finish a job in 8 days and Ananya in 12 days. Kavya works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  10. 10.Priya and Kavya together finish a job in 2 days. Priya alone takes 3 days. How many days would Kavya take alone?
  11. 11.Manav can finish a job in 20 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Priya and Kabir together finish a job in 9 days. Priya alone takes 10 days. How many days would Kabir take alone?
  13. 13.Meera can finish a job in 5 days and Tara in 20 days. Meera works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  14. 14.Isha can finish a job in 5 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Diya can finish a job in 5 days and Rohan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Sneha can finish a job in 7 days and Karan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kabir and Diya together finish a job in 15 days. Kabir alone takes 30 days. How many days would Diya take alone?
  18. 18.Arjun can finish a job in 8 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Karan and Ishaan together finish a job in 4 days. Karan alone takes 6 days. How many days would Ishaan take alone?
  20. 20.Kavya works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  21. 21.Zoya can finish a job in 14 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kabir can finish a job in 11 days and Vivaan in 22 days. Kabir works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  23. 23.Manav can finish a job in 28 days and Diya in 6 days. Manav works alone for 14 days and then stops. Diya finishes the rest. How many days does Diya take?
  24. 24.Isha can finish a job in 4 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Rahul can finish a job in 9 days and Priya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Priya and Aditya together finish a job in 10 days. Priya alone takes 30 days. How many days would Aditya take alone?
  27. 27.Kabir can finish a job in 24 days and Rahul in 18 days. Kabir works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  28. 28.Vivaan and Aarav together finish a job in 12 days. Vivaan alone takes 18 days. How many days would Aarav take alone?
  29. 29.Aditya works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  30. 30.Vivaan works three times as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  31. 31.Arjun can finish a job in 7 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. =
  32. 32.Vivaan works three times as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  33. 33.Karan can finish a job in 18 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Manav can finish a job in 20 days and Saanvi in 10 days. Manav works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  35. 35.Sneha works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  36. 36.Ishaan can finish a job in 7 days and Diya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Aditya can finish a job in 27 days and Tara in 9 days. Aditya works alone for 18 days and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Priya can finish a job in 9 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Nisha can finish a job in 22 days and Meera in 16 days. Nisha works alone for 11 days and then stops. Meera finishes the rest. How many days does Meera take?
  40. 40.Karan can finish a job in 8 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 21
  2. 36
  3. 8
  4. 12
  5. 26
  6. 3
  7. 20
  8. 7/60
  9. 9
  10. 6
  11. 99/260
  12. 90
  13. 8
  14. 24/35
  15. 14/45
  16. 77/18
  17. 30
  18. 56/11
  19. 12
  20. 48
  21. 70/19
  22. 18
  23. 3
  24. 52/17
  25. 25/144
  26. 15
  27. 12
  28. 36
  29. 12
  30. 24
  31. 28/11
  32. 12
  33. 11/90
  34. 6
  35. 12
  36. 23/56
  37. 3
  38. 18/11
  39. 8
  40. 104/21

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