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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 54 · 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.Karan and Aditya together finish a job in 8 days. Karan alone takes 12 days. How many days would Aditya take alone?
  2. 2.Isha and Zoya together finish a job in 2 days. Isha alone takes 3 days. How many days would Zoya take alone?
  3. 3.Ishaan can finish a job in 8 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aditya can finish a job in 12 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. =
  5. 5.Kabir can finish a job in 7 days and Saanvi in 28 days. Kabir works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  6. 6.Meera can finish a job in 8 days and Isha in 4 days. Meera works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  7. 7.Meera works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  8. 8.Aditya can finish a job in 19 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Kavya and Zoya together finish a job in 6 days. Kavya alone takes 8 days. How many days would Zoya take alone?
  10. 10.Karan can finish a job in 6 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Rahul works twice as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  12. 12.Diya can finish a job in 15 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aarav can finish a job in 20 days and Nisha in 5 days. Aarav works alone for 8 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  14. 14.Rahul works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  15. 15.Priya can finish a job in 20 days and Meera in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Kabir can finish a job in 9 days and Ishaan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Kabir can finish a job in 26 days and Rohan in 10 days. Kabir works alone for 13 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  18. 18.Kavya can finish a job in 4 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kabir and Aditya together finish a job in 12 days. Kabir alone takes 15 days. How many days would Aditya take alone?
  20. 20.Ananya and Dev together finish a job in 4 days. Ananya alone takes 5 days. How many days would Dev take alone?
  21. 21.Aditya can finish a job in 19 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Diya can finish a job in 4 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan and Kavya together finish a job in 7 days. Rohan alone takes 8 days. How many days would Kavya take alone?
  24. 24.Meera and Manav together finish a job in 9 days. Meera alone takes 10 days. How many days would Manav take alone?
  25. 25.Zoya works three times as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  26. 26.Nisha can finish a job in 20 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Vivaan can finish a job in 16 days and Aditya in 4 days. Vivaan works alone for 8 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  28. 28.Arjun can finish a job in 11 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Diya can finish a job in 19 days and Farhan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Karan can finish a job in 10 days and Tara in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Isha and Kavya together finish a job in 4 days. Isha alone takes 5 days. How many days would Kavya take alone?
  32. 32.Tara works twice as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  33. 33.Nisha can finish a job in 4 days and Rohan in 12 days. Nisha works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  34. 34.Dev can finish a job in 6 days and Rohan in 24 days. Dev works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  35. 35.Meera can finish a job in 15 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aditya can finish a job in 11 days and Rohan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Saanvi can finish a job in 12 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ishaan can finish a job in 9 days and Manav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aarav and Arjun together finish a job in 6 days. Aarav alone takes 9 days. How many days would Arjun take alone?
  40. 40.Karan can finish a job in 15 days and Diya in 11 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 24
  2. 6
  3. 56/15
  4. 60/11
  5. 16
  6. 1
  7. 16
  8. 35/152
  9. 24
  10. 21/5
  11. 24
  12. 195/28
  13. 3
  14. 12
  15. 7/40
  16. 7/36
  17. 5
  18. 16/5
  19. 60
  20. 20
  21. 31/114
  22. 12/5
  23. 56
  24. 90
  25. 28
  26. 4
  27. 2
  28. 25/77
  29. 285/34
  30. 14/45
  31. 20
  32. 18
  33. 3
  34. 16
  35. 60/7
  36. 187/28
  37. 84/19
  38. 171/28
  39. 18
  40. 52/165

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