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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 426 · 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.Diya can finish a job in 7 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Ananya works three times as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  3. 3.Rohan works twice as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  4. 4.Meera and Aditya together finish a job in 5 days. Meera alone takes 10 days. How many days would Aditya take alone?
  5. 5.Meera can finish a job in 26 days and Kabir in 13 days. Meera works alone for 12 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  6. 6.Kabir can finish a job in 5 days and Pooja in 20 days. Kabir works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
  7. 7.Kabir and Isha together finish a job in 15 days. Kabir alone takes 24 days. How many days would Isha take alone?
  8. 8.Meera and Arjun together finish a job in 2 days. Meera alone takes 4 days. How many days would Arjun take alone?
  9. 9.Karan can finish a job in 8 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Farhan can finish a job in 10 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. =
  11. 11.Sneha and Rohan together finish a job in 3 days. Sneha alone takes 4 days. How many days would Rohan take alone?
  12. 12.Meera can finish a job in 30 days and Kabir in 5 days. Meera works alone for 12 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  13. 13.Aditya can finish a job in 20 days and Sneha in 30 days. Aditya works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  14. 14.Saanvi can finish a job in 4 days and Isha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Aarav can finish a job in 19 days and Karan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Nisha works twice as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  17. 17.Arjun can finish a job in 4 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera and Farhan together finish a job in 5 days. Meera alone takes 10 days. How many days would Farhan take alone?
  19. 19.Karan can finish a job in 6 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Aarav can finish a job in 3 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Farhan and Manav together finish a job in 2 days. Farhan alone takes 3 days. How many days would Manav take alone?
  22. 22.Nisha works three times as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  23. 23.Meera can finish a job in 17 days and Vivaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Priya can finish a job in 18 days and Pooja in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aditya works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  26. 26.Ananya can finish a job in 5 days and Karan in 15 days. Ananya works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  27. 27.Farhan can finish a job in 4 days and Rohan in 8 days. Farhan works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  28. 28.Diya and Dev together finish a job in 2 days. Diya alone takes 4 days. How many days would Dev take alone?
  29. 29.Arjun can finish a job in 11 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Farhan can finish a job in 13 days and Kavya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Saanvi and Aarav together finish a job in 6 days. Saanvi alone takes 24 days. How many days would Aarav take alone?
  32. 32.Arjun can finish a job in 4 days and Diya in 18 days. Arjun works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  33. 33.Aditya works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  34. 34.Zoya can finish a job in 15 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Zoya can finish a job in 14 days and Diya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Rahul can finish a job in 6 days and Priya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Farhan can finish a job in 13 days and Tara in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Tara can finish a job in 9 days and Meera in 18 days. Tara works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  39. 39.Aditya works twice as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  40. 40.Meera and Ishaan together finish a job in 12 days. Meera alone takes 15 days. How many days would Ishaan take alone?

Answer key

  1. 45/56
  2. 8
  3. 18
  4. 10
  5. 7
  6. 16
  7. 40
  8. 4
  9. 23/60
  10. 6
  11. 12
  12. 3
  13. 24
  14. 9/28
  15. 99/266
  16. 6
  17. 36/11
  18. 10
  19. 42/13
  20. 6/5
  21. 6
  22. 44
  23. 255/32
  24. 144/17
  25. 15
  26. 3
  27. 6
  28. 4
  29. 33/14
  30. 130/23
  31. 8
  32. 9
  33. 9
  34. 28/65
  35. 45/112
  36. 2/9
  37. 60/221
  38. 10
  39. 33
  40. 60

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