Question

The ratio of \[20\] minutes to \[1\] hour is
A. \[20:1\]
B. \[1:3\]
C. \[1:4\]
D. \[2:5\]

Answer 1

Hint: Here we are asked to find the ratio of \[20\] minutes to \[1\] hour. The ratio is obtained by comparing two quantities of the same kind by division. So, we will first make the given data into the same kind then we will divide it to simplify them and write them in the ratio form.

Complete step by step answer:
We aim to find the ratio of \[20\] minutes to \[1\] hour. We know that the ratio is nothing but comparing two quantities of the same kind by the operation division. Since we can only compare the same quantity, we need to modify the given data.
The given quantities are \[20\] minutes and \[1\] hour. Now we will convert the hour into minutes.
We know that one hour is equal to sixty minutes. Thus, one hour can be written as sixty minutes. Now the quantities have become \[20\] minutes and \[60\] minutes. Thus, we now have quantities of the same kind. Let us find the ratio. We aim to find the ratio of \[20\] minutes to \[60\] minutes.
For that, we need to divide twenty by sixty. On dividing we get
\[\dfrac{{20}}{{60}} = \dfrac{1}{3}\]
Now writing this in the ratio form we get \[1:3\]. Thus, the ratio of \[20\] minutes to \[1\] hour is \[1:3\].

So, the correct answer is “Option B”.

Note:
 If \[a\] and \[b\] are any two quantities of the same kind then the ratio of \[a\] to \[b\] is nothing but \[\dfrac{a}{b}\] and it is denoted by \[a:b\]. In the ratio, \[a\] is antecedent and \[b\] is consequent of the ratio. The ratio does not have any unit. Also, \[a:b \ne b:a\] the order of the term is important.