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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 317 · 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.Arjun works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  2. 2.Priya can finish a job in 9 days and Pooja in 12 days. Priya works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  3. 3.Tara can finish a job in 7 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Isha and Rohan together finish a job in 5 days. Isha alone takes 10 days. How many days would Rohan take alone?
  5. 5.Isha can finish a job in 2 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Ishaan and Ananya together finish a job in 6 days. Ishaan alone takes 9 days. How many days would Ananya take alone?
  7. 7.Ishaan and Saanvi together finish a job in 9 days. Ishaan alone takes 10 days. How many days would Saanvi take alone?
  8. 8.Meera and Karan together finish a job in 2 days. Meera alone takes 3 days. How many days would Karan take alone?
  9. 9.Karan can finish a job in 5 days and Rahul in 10 days. Karan works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  10. 10.Kabir can finish a job in 11 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Dev can finish a job in 13 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya can finish a job in 16 days and Diya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Kabir and Aditya together finish a job in 4 days. Kabir alone takes 5 days. How many days would Aditya take alone?
  14. 14.Ishaan can finish a job in 24 days and Sneha in 12 days. Ishaan works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  15. 15.Ishaan and Arjun together finish a job in 6 days. Ishaan alone takes 12 days. How many days would Arjun take alone?
  16. 16.Dev can finish a job in 13 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Farhan can finish a job in 3 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. =
  18. 18.Pooja can finish a job in 15 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Diya can finish a job in 9 days and Rohan in 6 days. Diya works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  20. 20.Ananya can finish a job in 10 days and Isha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Dev can finish a job in 13 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Diya can finish a job in 14 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Priya works twice as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  24. 24.Nisha can finish a job in 8 days and Karan in 18 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 2 days. Arjun alone takes 4 days. How many days would Diya take alone?
  26. 26.Aarav works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  27. 27.Sneha can finish a job in 6 days and Kavya in 21 days. Sneha works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  28. 28.Ananya works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  29. 29.Kabir can finish a job in 10 days and Nisha in 20 days. Kabir works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  30. 30.Arjun works twice as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  31. 31.Arjun and Dev together finish a job in 3 days. Arjun alone takes 6 days. How many days would Dev take alone?
  32. 32.Karan can finish a job in 8 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Diya can finish a job in 5 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Zoya can finish a job in 15 days and Karan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Isha works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  36. 36.Ananya can finish a job in 7 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Arjun can finish a job in 8 days and Priya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Zoya and Dev together finish a job in 2 days. Zoya alone takes 3 days. How many days would Dev take alone?
  39. 39.Kabir can finish a job in 16 days and Rahul in 8 days. Kabir works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  40. 40.Aarav can finish a job in 5 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. =

Answer key

  1. 36
  2. 8
  3. 54/77
  4. 10
  5. 4/3
  6. 18
  7. 90
  8. 6
  9. 2
  10. 21/110
  11. 78/19
  12. 69/112
  13. 20
  14. 9
  15. 12
  16. 234/31
  17. 39/16
  18. 31/240
  19. 2
  20. 35/6
  21. 260/33
  22. 28/9
  23. 21
  24. 72/13
  25. 4
  26. 20
  27. 14
  28. 9
  29. 12
  30. 21
  31. 6
  32. 23/40
  33. 45/14
  34. 195/28
  35. 27
  36. 126/25
  37. 24/7
  38. 6
  39. 4
  40. 15/8

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