Question

A truck loaded with toys travels a distance of $14$ miles in $25$ minutes. With the same speed the truck can travel miles in $75$ minutes.

• A. $28$
• B. $42$
• C. $52$

Answer 1

The correct option is B $42$

We know that $\text{speed}=\frac{\text{distance}}{\text{time}}$
If speed remains same then $\text{distance}\propto \text{time}$

$\Rightarrow \frac{\text{distance}}{\text{time}}=\frac{14\text{miles}}{25\text{minutes}}$

Let distance covered by the truck in $75$ min be $d$.
$\Rightarrow \frac{d}{75\text{minutes}}=\frac{14\text{miles}}{25\text{minutes}}$

$\Rightarrow \text{distance}=\frac{14\times 75}{25}=42\text{miles}$