Question

When Ajit travelled $15$km, he found that one-fourth of his journey was still left.What was the full length of the journey?

Answer 1

Let the total length of journey$=x$

Journey travelled$=15$km

Journey still left$=\frac{1}{4}$ of $x$

Now, according to question,

$x-15=\frac{1}{4}$ of $x$

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

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

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

$\Rightarrow 3x=60$

$\therefore x=\frac{60}{3}=20$km

$\therefore$Total length of the journey$=20$km.