Question

When Manish traveled $12km$ by his bicycle, he found that one-third of his journey was still left. What was the total distance that he was to travel?

• A. $15km$
• B. $18km$
• C. $21km$
• D. $24km$

Answer 1

The correct option is B

$18km$

Let the total distance Manish traveled by his bicycle $=$$xkm$

According to the question, two-third of the journey $=12km$

two-third of the journey$+$one-third of the journey$=$$x$

$$\begin{gathered} 12+\frac{x}{3}=x \\ 12=x-\frac{x}{3} \\ 12=\frac{3x}{3}-\frac{x}{3} \\ 12=\frac{3x-x}{3} \\ 12=\frac{2x}{3} \\ 2x=12\times 3 \\ 2x=36 \\ x=\frac{36}{2} \\ x=\frac{18}{1} \\ x=18 \end{gathered}$$

Therefore, the total distance Manish traveled by his bicycle $=$$18km$