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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 364 · 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.Meera works three times as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  2. 2.Kavya can finish a job in 5 days and Kabir in 30 days. Kavya works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  3. 3.Aditya can finish a job in 16 days and Ananya in 12 days. Aditya works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  4. 4.Rohan works three times as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  5. 5.Sneha can finish a job in 8 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Rohan can finish a job in 17 days and Saanvi in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Vivaan can finish a job in 14 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Meera can finish a job in 9 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Tara works three times as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  10. 10.Aarav can finish a job in 11 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha can finish a job in 4 days and Karan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Diya can finish a job in 15 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 17 days and Isha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Vivaan can finish a job in 9 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Isha and Ananya together finish a job in 4 days. Isha alone takes 12 days. How many days would Ananya take alone?
  16. 16.Kavya can finish a job in 5 days and Sneha in 9 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 12 days and Tara in 9 days. Farhan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  18. 18.Arjun can finish a job in 4 days and Kabir in 12 days. Arjun works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  19. 19.Nisha can finish a job in 18 days and Aditya in 30 days. Nisha works alone for 15 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  20. 20.Isha works three times as fast as Vivaan. Together they finish a job in 11 days. How many days would Vivaan take alone?
  21. 21.Kabir works twice as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  22. 22.Aditya and Isha together finish a job in 2 days. Aditya alone takes 4 days. How many days would Isha take alone?
  23. 23.Kabir can finish a job in 20 days and Aditya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Farhan and Rahul together finish a job in 2 days. Farhan alone takes 3 days. How many days would Rahul take alone?
  25. 25.Diya can finish a job in 9 days and Rohan in 24 days. Diya works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  26. 26.Rahul can finish a job in 13 days and Farhan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Aditya can finish a job in 14 days and Kavya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Zoya can finish a job in 20 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ishaan works three times as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  30. 30.Kavya works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  31. 31.Vivaan can finish a job in 15 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Priya can finish a job in 9 days and Rohan in 15 days. Priya works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  33. 33.Tara works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  34. 34.Kabir can finish a job in 14 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Isha and Karan together finish a job in 6 days. Isha alone takes 12 days. How many days would Karan take alone?
  36. 36.Sneha can finish a job in 20 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ananya works twice as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
  38. 38.Zoya can finish a job in 8 days and Manav in 28 days. Zoya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  39. 39.Karan can finish a job in 8 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ananya can finish a job in 3 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 48
  2. 24
  3. 6
  4. 28
  5. 25/68
  6. 25/136
  7. 70/19
  8. 29/180
  9. 8
  10. 176/27
  11. 19/60
  12. 210/29
  13. 72/323
  14. 14/45
  15. 6
  16. 45/14
  17. 6
  18. 3
  19. 5
  20. 44
  21. 9
  22. 4
  23. 40/7
  24. 6
  25. 8
  26. 130/23
  27. 84/13
  28. 340/37
  29. 8
  30. 24
  31. 23/60
  32. 5
  33. 24
  34. 7/4
  35. 12
  36. 60/7
  37. 33
  38. 21
  39. 120/23
  40. 15/8

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