Question

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?

Answer 1

Office opens at = 9 AM

Office close at = 5:30 PM

Total hours of office = 5:30 PM – 9 AM = 17:30 – 9 = 8:30 h = 8 h 30 min

Lunch break = 30 min

Ratio of lunch break to the total period = `(30  min)/(8  h  30  min)`

= `(30  min)/((8 xx 60 + 30)  min)`   .....[∵ 1 h = 60 min]

= `(30  min)/(510  min)`

= `1/17`  ......[On dividing numerator and denominator by 30]

= 1:17