Answer

Verified

345.9k+ views

**Hint:**As we know that there are $60$ minutes in $1$ hour. So, we will use this concept to convert $240$ minutes into hours. First of all we will write the concept and get the value of $1$ minute in terms of hour. Then, we will multiply both sides with $240$ to get the required answer.

**Complete step by step answer:**

Since, there are $60$ seconds in $1$ minute and $60$ minutes in $1$ hour to understand the time process of the watch. So, the ratio of minutes and seconds is $1:60$ and similarly the ratio of hour and minute is also $1:60$.

Since, we need to convert from minutes to hours in the given question. We will use the ratio of hour and minute.

Let’s suppose that $240$ minutes are equal to $x$ hours. So, the ratio of $x$ and $240$ will be $1:60$. We can write it in mathematical terms as:

$\Rightarrow \dfrac{x}{240}=\dfrac{1}{60}$

Here, we will do the multiplication by $240$ each side of above step as:

$\Rightarrow \dfrac{x}{240}\times 240=\dfrac{1}{60}\times 240$

Now, we will cancel out the equal like term that is $240$ in left hand side and will divide $240$ by $60$in right hand side of the above step and will get quotient as $4$ as:

$\Rightarrow x=4$

Here, we get the value of $x$ that is also assumed convert hour of $240$ minute. Hence, $240$ minutes is equal to $4$ hours.

**Note:**Here, we will again use the concept of time as $1$ hour is equal to $60$ minutes to check if the solution is correct or not.

Since, $1$ hour is equal to $60$. We can write it as:

$\Rightarrow 1\text{ hour = 60 minutes}$

Now, we will multiply by $4$ both sides as:

$\Rightarrow 1\text{ hour }\times 4\text{= 60 minutes}\times \text{4}$

After multiplication, we will have:

$\Rightarrow 4\text{ hour = 240 minutes}$

As we got $4$ hours are equal to $240$minutes.

Hence, our solution is correct.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE