Question

A person travelled ${\frac{5}{8}}^{th}$ of the distance by train, ${\frac{1}{4}}^{th}$ by bus, and the remaining $15$ km by boat. What was the total distance travelled by him ?

• A. $100$ km
• B. $110$ km
• C. $120$ km
• D. $150$ km

Answer 1

The correct option is C $120$ km

Let the total distance travelled by him be $x$ km
Then, $\frac{5x}{8}+\frac{x}{4}+15=x$

$\Rightarrow x-\frac{5x}{8}-\frac{x}{4}=15$

$\Rightarrow x-\frac{5x}{8}-\frac{x}{4}=15$

$\Rightarrow \frac{8x-5x-2x}{8}=15$

$\Rightarrow \frac{x}{8}=15$

$\Rightarrow x=120$
Total distance travelled by him $=120$ km.