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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 63 · 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.Aarav and Ananya together finish a job in 7 days. Aarav alone takes 8 days. How many days would Ananya take alone?
  2. 2.Aditya can finish a job in 14 days and Aarav in 18 days. Aditya works alone for 7 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  3. 3.Pooja can finish a job in 14 days and Kabir in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Farhan can finish a job in 13 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Farhan works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  6. 6.Kavya can finish a job in 12 days and Meera in 18 days. Kavya works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  7. 7.Zoya can finish a job in 5 days and Ishaan in 30 days. Zoya works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  8. 8.Saanvi works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  9. 9.Rohan can finish a job in 15 days and Diya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Vivaan and Aarav together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Aarav take alone?
  11. 11.Pooja can finish a job in 9 days and Zoya in 21 days. Pooja works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  12. 12.Arjun and Priya together finish a job in 12 days. Arjun alone takes 14 days. How many days would Priya take alone?
  13. 13.Sneha works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  14. 14.Rohan can finish a job in 19 days and Isha in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Isha works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  16. 16.Pooja can finish a job in 6 days and Sneha in 30 days. Pooja works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  17. 17.Kabir can finish a job in 14 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Rohan can finish a job in 5 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Saanvi can finish a job in 15 days and Rohan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Vivaan and Zoya together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Zoya take alone?
  21. 21.Ananya works three times as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  22. 22.Farhan works twice as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  23. 23.Priya can finish a job in 6 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Arjun can finish a job in 3 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya works three times as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  26. 26.Vivaan can finish a job in 18 days and Nisha in 30 days. Vivaan works alone for 15 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  27. 27.Kavya can finish a job in 4 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rahul can finish a job in 9 days and Karan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Aarav can finish a job in 15 days and Nisha in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Karan can finish a job in 14 days and Pooja in 16 days. Karan works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  31. 31.Rahul can finish a job in 20 days and Pooja in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Meera can finish a job in 9 days and Rohan in 18 days. Meera works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  33. 33.Ishaan can finish a job in 10 days and Pooja in 15 days. Ishaan works alone for 8 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  34. 34.Ananya can finish a job in 7 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Karan can finish a job in 5 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Kavya can finish a job in 9 days and Zoya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir and Aarav together finish a job in 18 days. Kabir alone takes 30 days. How many days would Aarav take alone?
  38. 38.Aditya works twice as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  39. 39.Ananya and Dev together finish a job in 3 days. Ananya alone takes 12 days. How many days would Dev take alone?
  40. 40.Kavya works twice as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?

Answer key

  1. 56
  2. 9
  3. 35/6
  4. 247/32
  5. 24
  6. 9
  7. 12
  8. 12
  9. 7/60
  10. 6
  11. 7
  12. 84
  13. 21
  14. 78/133
  15. 24
  16. 5
  17. 35/6
  18. 21/80
  19. 1/2
  20. 12
  21. 12
  22. 30
  23. 102/23
  24. 30/13
  25. 44
  26. 5
  27. 4/3
  28. 16/63
  29. 9/20
  30. 8
  31. 27/80
  32. 8
  33. 3
  34. 51/70
  35. 16/55
  36. 153/26
  37. 45
  38. 12
  39. 4
  40. 9

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