Answer:
1:17
Explanation:
Find out how long it it between 5.30pm and 9am. This is 8 hours 30 minutes or 510 minutes.
Now, arrange them in the ratio of Lunch Break to Total office time
30:510. This can be simplified to 1:17
Please check if the question is worded correctly, just in case. Because ratio questions are usually based on a part and the remaining parts of the same thing, and not part to whole.
Anyway. The answer given if for the question you have typed.
Hope this helps.