\begin{tabular}{|l|c|}
\hline \multicolumn{1}{|c|}{ Section [tex]$E$[/tex] consists of Case Study based questions } & Marks \\
\hline Rahul's mother is suffering from fever for many days. He wants to go to his & \\
hometown, Bhimavaram, to see his mother. His hometown is 746.4 km & \\
away from Bangalore. He covered [tex]$\frac{5}{6}$[/tex] of his journey by aeroplane, 107.4 & \\
km by bus, 15.5 km by taxi, and the rest on foot. & \\
Now answer the following question: \\
(a) How much distance did Rahul cover by aeroplane? \\
\hline
\end{tabular}



Answer :

To determine how much distance Rahul covered by aeroplane, we start by understanding the total distance of his journey and the fraction of that distance traveled by aeroplane.

1. Total Distance:
Rahul's total journey distance is 746.4 kilometers.

2. Fraction of Journey by Aeroplane:
Rahul covered [tex]\(\frac{5}{6}\)[/tex] of his journey by aeroplane.

To find the distance covered by aeroplane, we multiply the total distance by the fraction of the journey that he traveled by aeroplane.

Let's do this step-by-step:

[tex]\[ \text{Distance covered by aeroplane} = \left(\frac{5}{6}\right) \times 746.4 \text{ km} \][/tex]

The distance Rahul covered by aeroplane is:

[tex]\[ \boxed{622.0 \text{ km}} \][/tex]

Therefore, Rahul covered 622.0 kilometers of his journey by aeroplane.