Question

Mr. Patel can run 3.37 km in one hour. How many kilometers can he run in 12 hours?

Answer 1

Hint: In the problem, we have given that number of kilometers Mr. Patel can run in one hour. In the question they have asked to calculate the number of kilometers he can run in $ 12 $ hours. For this, we will split the number of kilometers run in one hour into the integer part and decimal part. Now we will multiply each part with $ 12 $ separately and add them together to get the result value.

Complete step by step answer:
Given that,
Mr. Patel can run $ 3.37 $ km in one hour.
We can write $ 3.37 $ as $ 3.37=3+0.37..\left( \text{i} \right) $
Now the integer part in $ 3.37 $ is $ 3 $ and the decimal part in $ 3.37 $ is $ 0.37 $ .
In the decimal part, the decimal is after $ 2 $ digits from the right, so we need to divide and multiply it with $ 100 $ to convert it into a fraction.
 $ \begin{align}
  & \therefore 0.37=0.37\times \dfrac{100}{100} \\
 & \Rightarrow 0.37=\dfrac{37}{100} \\
\end{align} $
To calculate the kilometers run in $ 12 $ hours, we will multiply the kilometer run in one hour with $ 12 $ . Mathematically it can be written as
 $ \Rightarrow s=3.37\times 12 $
From equation one we can write the above equation as
 $ \Rightarrow s=\left( 3+0.37 \right)\times 12 $
Using distribution law of multiplication in the above equation
 $ \Rightarrow s=3\times 12+0.37\times 12 $
Substituting $ 0.37=\dfrac{37}{100} $ in the above equation, then we will get
 $ \begin{align}
  & \Rightarrow s=36+\dfrac{37}{100}\times 12 \\
 & \Rightarrow s=36+\dfrac{444}{100} \\
 & \Rightarrow s=36+4.44 \\
 & \Rightarrow s=40.44 \\
\end{align} $
Hence Mr. Patel can run $ 40.44 $ km in $ 12 $ Hours.

Note:
we can directly calculate the result without splitting the given term. To calculate the required value, we will multiply $ 3.37 $ with $ 12 $.
 $ \begin{align}
  & 3.37\times 12=\dfrac{337}{100}\times 12 \\
 & \Rightarrow 3.37\times 12=\dfrac{4044}{100} \\
 & \Rightarrow 3.37\times 12=40.44 \\
\end{align} $
From both the methods we got the same result.