Question

Find the ratio of 60 hrs to 600 min.
A. 3600:600
B. 1:6
C. 6:1
D. 5:1

Answer 1

Hint: We convert the given units into the same ones. First, we convert them into minutes and calculate the ratio. Then we convert both of them into hours and find the ratio again. Both the ratio should be the same result. That solidifies the result of the ratio.

Complete step-by-step solution
We need to convert all the given units in the same form to find the ratio of the 60 hrs to 600 min.
We will form both types of unit measurements to validate the result.
First, we are converting both given data into the minute measurement.
We know that the conversion of minute and hour is 1 hour is equal to 60 minutes.
We are trying to find a ratio of 60 hrs to 600 min.
We just need to change the unit of 60 hrs into min.
1 hour is equal to 60 minutes. So, 60 hours is equal to $60\times 60=3600$ minutes.
Now, the ratio of 60 hrs to 600 min is equal to the ratio of 3600 min to 600 min.
So, the ratio is $3600:600=6:1$.
Now, we do the calculations in hours.
We are trying to find a ratio of 60 hrs to 600 min.
We just need to change the unit of 600 mins into hours.
1 hour is equal to 60 minutes. So, 600 minutes is equal to ${\displaystyle \frac{600}{60}}=10$ hours.
Now, the ratio of 60 hrs to 600 min is equal to the ratio of 60 hrs to 10 hrs.
So, the ratio is $60:10=6:1$.
We validated that in any case, the ratio remains the same.
The correct option is C.

Note: We also have an option of 3600:600 which we got at the start of finding the answer. It’s equal to the ratio of 6:1. But the condition of finding the ratio is that we need to find the simplest form of the digits which means the greatest common divisor or G.C.D. of the digits should be 1. All the common terms should be omitted from the terms to find their simplest form possible.