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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 185 · 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.Rahul and Aarav together finish a job in 15 days. Rahul alone takes 30 days. How many days would Aarav take alone?
  2. 2.Diya works twice as fast as Sneha. Together they finish a job in 7 days. How many days would Sneha take alone?
  3. 3.Ishaan works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  4. 4.Manav can finish a job in 8 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Sneha can finish a job in 4 days and Ishaan in 8 days. Sneha works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  6. 6.Sneha works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  7. 7.Ananya can finish a job in 6 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Vivaan can finish a job in 15 days and Aarav in 30 days. Vivaan works alone for 10 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  9. 9.Karan can finish a job in 18 days and Nisha in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Karan can finish a job in 11 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Arjun can finish a job in 5 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Pooja can finish a job in 10 days and Meera in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Priya can finish a job in 6 days and Aditya in 26 days. Priya works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  14. 14.Rahul can finish a job in 4 days and Kavya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Ishaan works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  16. 16.Saanvi works three times as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  17. 17.Aditya can finish a job in 9 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Rohan can finish a job in 3 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Saanvi works twice as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  20. 20.Vivaan works three times as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  21. 21.Dev can finish a job in 12 days and Meera in 6 days. Dev works alone for 8 days and then stops. Meera finishes the rest. How many days does Meera take?
  22. 22.Tara works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  23. 23.Aditya can finish a job in 7 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Meera can finish a job in 8 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Nisha can finish a job in 6 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Karan can finish a job in 6 days and Arjun in 21 days. Karan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  27. 27.Tara and Karan together finish a job in 8 days. Tara alone takes 12 days. How many days would Karan take alone?
  28. 28.Nisha can finish a job in 15 days and Isha in 6 days. Nisha works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  29. 29.Aarav can finish a job in 16 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Diya can finish a job in 10 days and Aarav in 30 days. Diya works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  31. 31.Ananya can finish a job in 17 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Dev and Isha together finish a job in 21 days. Dev alone takes 30 days. How many days would Isha take alone?
  33. 33.Diya can finish a job in 5 days and Vivaan in 15 days. Diya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  34. 34.Ananya works twice as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  35. 35.Kavya can finish a job in 15 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  37. 37.Aditya can finish a job in 10 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Arjun can finish a job in 24 days and Pooja in 15 days. Arjun works alone for 16 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  39. 39.Vivaan can finish a job in 19 days and Saanvi in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Tara can finish a job in 14 days and Saanvi in 21 days. Tara works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?

Answer key

  1. 30
  2. 21
  3. 36
  4. 23/40
  5. 2
  6. 6
  7. 48/11
  8. 10
  9. 17/144
  10. 55/16
  11. 55/16
  12. 60/11
  13. 13
  14. 10/3
  15. 18
  16. 20
  17. 17/72
  18. 39/16
  19. 36
  20. 40
  21. 2
  22. 36
  23. 19/84
  24. 7/8
  25. 19/26
  26. 14
  27. 24
  28. 4
  29. 9/80
  30. 15
  31. 340/37
  32. 70
  33. 3
  34. 15
  35. 285/34
  36. 36
  37. 8/15
  38. 5
  39. 34/95
  40. 9

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