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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 497 · 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 2 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Aarav works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  3. 3.Rahul works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  4. 4.Aditya and Ananya together finish a job in 6 days. Aditya alone takes 8 days. How many days would Ananya take alone?
  5. 5.Ishaan can finish a job in 15 days and Tara in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rahul can finish a job in 12 days and Sneha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Ananya can finish a job in 17 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Arjun works twice as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  9. 9.Nisha can finish a job in 25 days and Sneha in 10 days. Nisha works alone for 10 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  10. 10.Ananya can finish a job in 9 days and Diya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Aarav can finish a job in 12 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Aarav and Karan together finish a job in 4 days. Aarav alone takes 12 days. How many days would Karan take alone?
  13. 13.Rahul and Arjun together finish a job in 2 days. Rahul alone takes 6 days. How many days would Arjun take alone?
  14. 14.Vivaan can finish a job in 12 days and Karan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Rohan can finish a job in 20 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Tara can finish a job in 18 days and Rahul in 24 days. Tara works alone for 9 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  17. 17.Rohan can finish a job in 17 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. =
  18. 18.Arjun and Vivaan together finish a job in 6 days. Arjun alone takes 7 days. How many days would Vivaan take alone?
  19. 19.Isha can finish a job in 7 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Farhan works three times as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  21. 21.Zoya works twice as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  22. 22.Nisha can finish a job in 10 days and Ishaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Isha works three times as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  24. 24.Karan can finish a job in 9 days and Zoya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kavya can finish a job in 19 days and Meera in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Rohan works three times as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
  27. 27.Manav can finish a job in 14 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. =
  28. 28.Nisha can finish a job in 12 days and Dev in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kabir works twice as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  30. 30.Kabir can finish a job in 13 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. =
  31. 31.Meera can finish a job in 20 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Pooja works twice as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  33. 33.Aarav can finish a job in 16 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Karan can finish a job in 18 days and Isha in 6 days. Karan works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  35. 35.Meera and Priya together finish a job in 8 days. Meera alone takes 16 days. How many days would Priya take alone?
  36. 36.Zoya works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  37. 37.Ananya can finish a job in 10 days and Isha in 20 days. Ananya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  38. 38.Isha can finish a job in 12 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.Rohan can finish a job in 20 days and Vivaan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Rohan and Saanvi together finish a job in 4 days. Rohan alone takes 6 days. How many days would Saanvi take alone?

Answer key

  1. 4/3
  2. 12
  3. 12
  4. 24
  5. 210/29
  6. 1/4
  7. 72/323
  8. 6
  9. 6
  10. 17/24
  11. 11/60
  12. 6
  13. 3
  14. 84/13
  15. 20/11
  16. 12
  17. 85/22
  18. 42
  19. 11/28
  20. 16
  21. 9
  22. 190/29
  23. 24
  24. 45/8
  25. 32/247
  26. 24
  27. 28/9
  28. 84/19
  29. 9
  30. 234/31
  31. 111/340
  32. 36
  33. 11/24
  34. 5
  35. 16
  36. 8
  37. 14
  38. 132/23
  39. 51/140
  40. 12

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