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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 356 · 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 works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  2. 2.Aarav can finish a job in 6 days and Pooja in 18 days. Aarav works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  3. 3.Meera can finish a job in 2 days and Isha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kavya can finish a job in 17 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Kavya and Rohan together finish a job in 15 days. Kavya alone takes 18 days. How many days would Rohan take alone?
  6. 6.Ananya can finish a job in 22 days and Kavya in 11 days. Ananya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  7. 7.Karan and Ishaan together finish a job in 6 days. Karan alone takes 10 days. How many days would Ishaan take alone?
  8. 8.Pooja can finish a job in 16 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. =
  9. 9.Saanvi can finish a job in 14 days and Rohan in 7 days. Saanvi works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  10. 10.Diya works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  11. 11.Diya can finish a job in 15 days and Meera in 10 days. Diya works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  12. 12.Karan can finish a job in 18 days and Ananya in 20 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 16 days and Dev in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Meera and Aarav together finish a job in 4 days. Meera alone takes 6 days. How many days would Aarav take alone?
  15. 15.Tara and Zoya together finish a job in 6 days. Tara alone takes 24 days. How many days would Zoya take alone?
  16. 16.Saanvi and Aarav together finish a job in 8 days. Saanvi alone takes 12 days. How many days would Aarav take alone?
  17. 17.Meera can finish a job in 6 days and Nisha in 26 days. Meera works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  18. 18.Meera works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  19. 19.Arjun works three times as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  20. 20.Aarav can finish a job in 9 days and Ananya in 18 days. Aarav works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  21. 21.Rohan works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
  22. 22.Farhan works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  23. 23.Vivaan works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  24. 24.Sneha can finish a job in 4 days and Priya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Arjun and Diya together finish a job in 4 days. Arjun alone takes 5 days. How many days would Diya take alone?
  26. 26.Tara can finish a job in 15 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Kabir can finish a job in 6 days and Nisha in 12 days. Kabir works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  28. 28.Ananya and Arjun together finish a job in 6 days. Ananya alone takes 10 days. How many days would Arjun take alone?
  29. 29.Rohan can finish a job in 18 days and Kabir in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Rohan works twice as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  31. 31.Manav and Zoya together finish a job in 3 days. Manav alone takes 6 days. How many days would Zoya take alone?
  32. 32.Zoya can finish a job in 17 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Arjun and Saanvi together finish a job in 6 days. Arjun alone takes 10 days. How many days would Saanvi take alone?
  34. 34.Diya can finish a job in 24 days and Isha in 16 days. Diya works alone for 15 days and then stops. Isha finishes the rest. How many days does Isha take?
  35. 35.Kabir can finish a job in 5 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Karan can finish a job in 14 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. =
  37. 37.Meera can finish a job in 15 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Tara works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  39. 39.Sneha can finish a job in 12 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Nisha can finish a job in 5 days and Saanvi in 25 days. Nisha works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?

Answer key

  1. 36
  2. 3
  3. 6/5
  4. 29/68
  5. 90
  6. 9
  7. 15
  8. 48/11
  9. 5
  10. 8
  11. 8
  12. 180/19
  13. 25/144
  14. 12
  15. 8
  16. 24
  17. 13
  18. 12
  19. 32
  20. 2
  21. 48
  22. 24
  23. 36
  24. 10/3
  25. 20
  26. 105/22
  27. 8
  28. 15
  29. 35/102
  30. 36
  31. 6
  32. 68/21
  33. 15
  34. 6
  35. 65/18
  36. 7/4
  37. 29/210
  38. 12
  39. 3
  40. 15

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