Question

A person walks 5 km, then travels a certain distance by train, and then travels by bus which is equal to thrice the distance travelled by train. If the distance covered in whole journey is 65 km, then find the distance travelled by train.

• A. 25 km
• B. 30 km
• C. 15 km
• D. 20 km

Answer 1

The correct option is C 15 km

Let distance travelled by train be $x$ km.
So, the distance travelled by bus is $(3\times x)=3x$ km.
He also walks 5 km.
Hence, the total distance travelled is $5+x+3x=4x+5$ km.

According to the given data, total distance travelled is 65 km.

$\Rightarrow 4x+5=65$

Subtracting 5 from both sides of the equation, we get

$\Rightarrow 4x+5-5=65-5\Rightarrow 4x=60$

Now, dividing both sides by 4, we have
$\Rightarrow \frac{4x}{4}=\frac{60}{4}\Rightarrow x=15$

Hence, the person travels 15 km by train.