Question

In an office the working hours are 10.30 AM to 5.30 PM and in between there is a 30 minutes break. Find the ratio of office hours to time spent on lunch.
(a) 7:30
(b) 1:14
(c) 14:1
(d) 30:7

Answer 1

Hint:In this question we have to convert the hours into minutes and then we can take the ratio. There are 60 mins in an hour. We can convert using this information and then both of them will have the same unit, so we then have to take the ratio.

Complete step-by-step answer:
We have to find the ratio between office time to lunch time.
The office timings given to us are as follows: - 10.30 AM to 5.30 PM.
And the lunch break taken is: - 30 mins
To find the ratio we need to convert the data into the mins.
Total Number of office hours given to us is 10:30 to 12 and 12 to 5:30
Which equals to 1:30 + 5:30 = 7 hours.

Since both the office hours and lunch break have different units, we need to convert office hours into minutes. Using the conversion 60 minutes = 1 hour, we can convert 7 hours into 7 x 60 minutes = 420 minutes.
Now, the break time = 30 mins
Finding the ratio, we get: - 420:30.
We have to simplify the above ratio.
Dividing both the sides with 30 we get,
Ratio = 14:1
So, we can conclude that option C is the answer.

Note: We can likewise convert minutes of lunch break into hours and easily compare and get a quicker solution. Keep in mind before proceeding that both of them will have the same unit, so we then have to take the ratio.To find it using the other method we just have to convert 30 minutes into 0.5 hour and then take a ratio of 7: 0.5 which is equal to 14:1.