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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 140 · 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.Meera and Kavya together finish a job in 2 days. Meera alone takes 6 days. How many days would Kavya take alone?
  2. 2.Rohan and Karan together finish a job in 3 days. Rohan alone takes 4 days. How many days would Karan take alone?
  3. 3.Kavya works twice as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  4. 4.Tara works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  5. 5.Rohan works three times as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
  6. 6.Sneha can finish a job in 18 days and Kavya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Dev can finish a job in 10 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Manav works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  9. 9.Rahul can finish a job in 12 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Arjun can finish a job in 18 days and Meera in 6 days. Arjun works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
  11. 11.Diya and Rohan together finish a job in 3 days. Diya alone takes 6 days. How many days would Rohan take alone?
  12. 12.Isha and Priya together finish a job in 7 days. Isha alone takes 14 days. How many days would Priya take alone?
  13. 13.Rohan and Dev together finish a job in 2 days. Rohan alone takes 6 days. How many days would Dev take alone?
  14. 14.Isha and Saanvi together finish a job in 2 days. Isha alone takes 6 days. How many days would Saanvi take alone?
  15. 15.Vivaan and Rohan together finish a job in 6 days. Vivaan alone takes 7 days. How many days would Rohan take alone?
  16. 16.Isha works twice as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  17. 17.Aarav can finish a job in 14 days and Ananya in 18 days. Aarav works alone for 7 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  18. 18.Aarav works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  19. 19.Nisha can finish a job in 9 days and Rahul in 27 days. Nisha works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  20. 20.Priya can finish a job in 19 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Tara can finish a job in 16 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Manav works three times as fast as Dev. Together they finish a job in 8 days. How many days would Dev take alone?
  23. 23.Nisha can finish a job in 16 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Vivaan can finish a job in 14 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Meera works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  26. 26.Meera works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  27. 27.Diya can finish a job in 8 days and Farhan in 16 days. Diya works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  28. 28.Sneha can finish a job in 13 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kabir and Sneha together finish a job in 2 days. Kabir alone takes 4 days. How many days would Sneha take alone?
  30. 30.Arjun and Rahul together finish a job in 5 days. Arjun alone takes 6 days. How many days would Rahul take alone?
  31. 31.Saanvi can finish a job in 14 days and Vivaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Dev can finish a job in 20 days and Meera in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Tara and Sneha together finish a job in 2 days. Tara alone takes 3 days. How many days would Sneha take alone?
  34. 34.Nisha and Pooja together finish a job in 12 days. Nisha alone takes 20 days. How many days would Pooja take alone?
  35. 35.Priya can finish a job in 15 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Ananya can finish a job in 11 days and Aditya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Arjun can finish a job in 15 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Vivaan can finish a job in 14 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Dev can finish a job in 20 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aarav can finish a job in 18 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 3
  2. 12
  3. 27
  4. 36
  5. 48
  6. 23/90
  7. 5/3
  8. 33
  9. 48/7
  10. 2
  11. 6
  12. 14
  13. 3
  14. 3
  15. 42
  16. 27
  17. 9
  18. 9
  19. 9
  20. 25/38
  21. 304/35
  22. 32
  23. 25/144
  24. 16/63
  25. 32
  26. 6
  27. 8
  28. 260/33
  29. 4
  30. 30
  31. 28/9
  32. 4/15
  33. 6
  34. 30
  35. 8/15
  36. 15/44
  37. 90/11
  38. 238/31
  39. 140/27
  40. 37/114

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