An office opens at 9 a.m. and closes at 5.30 p.m. with a lunch break of 30 minutes. What is the ratio of lunch break to the total period in the office?

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Solution

Given, office opens at = 9 AM
And office closes at = 5 : 30 PM
Total hours of office = 5 : 30 PM - 9 AM = 8 h 30 min
Lunch break = 30 min
Ratio of lunch break to the total period
$= \frac{30 m i n}{8 h 30 m i n}$
$= \frac{30 m i n}{(8 \times 60 + 30) m i n} = \frac{30 m i n}{510 m i n}$ [ $∵$ 1 hour = 60 min]
$= \frac{1}{17} = 1 : 17$

Hence, the ratio of lunch break to the total period in the office is 1 : 17.

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