Question

A scooter travels 60 km in 2 hours. How long will it take to travel 300 km?
A. 5 hr
B. 8 hr
C. 10 hr
D. 12 hr

Answer 1

Hint: We are given the distance and the time here, so we will first find the speed of the scooter using the formula, $\text{speed}=\dfrac{\text{distance}}{\text{time}}$. After finding the speed, we will find the time taken to travel the given distance of 300 km by using the formula, $\text{time}=\dfrac{\text{distance}}{\text{speed}}$.

Complete step-by-step answer:
We are given the distance and the time taken to travel, so we need to find out the speed of the scooter first. For that we have to know what speed is. Speed is whatever distance travelled in one unit of time. The formula for the same is given as, $\text{speed}=\dfrac{\text{distance}}{\text{time}}$ and the unit of speed is $\dfrac{m}{s}or\dfrac{km}{hr}$. Now, in the question, we are given that a scooter travels 60 km in 2 hours, which means,
The distance travelled by the scooter = 60 km.
And the time taken to travel 60 km = 2 hours.
So, we can find the speed of the scooter by using the formula for speed. So, we get,
$\begin{align}
  & \text{speed}=\dfrac{\text{distance}}{\text{time}} \\
 & \Rightarrow \text{speed}=\dfrac{60km}{2h} \\
 & \Rightarrow \text{speed}=30\dfrac{km}{h} \\
\end{align}$
So, we get the speed of the scooter as 30 km/h. Now, we have to find the time taken by the scooter to travel 300 km. So, we have the distance as 300 km and the speed as 30 km/h. So, we can use the formula to get the time. So, we get,
$\begin{align}
  & \text{time}=\dfrac{\text{distance}}{\text{speed}} \\
 & \Rightarrow \text{time}=\dfrac{300km}{30\dfrac{km}{h}} \\
 & \Rightarrow \text{time}=10h \\
\end{align}$
So, the time taken by the scooter to travel 300 km is 10 hours.
Therefore, the correct option is option C.

Note: We can solve this question by an alternate method also. As we know that the speed of the scooter is the same all the time, we will use the speed formula to find the time taken to travel 300 km. Let us assume the time taken as T hours. So,
The speed of the scooter, when distance = 60 km and time = 2 hours will be,
$\text{speed}=\dfrac{60}{2}\ldots \ldots \ldots \left( i \right)$
And the speed of the scooter, when distance = 300 km and time = T hours will be,
$\text{speed}=\dfrac{300}{T}\ldots \ldots \ldots \left( ii \right)$
As speed is the same, we will equate equations (i) and (ii). So, we will get,
$\begin{align}
  & \dfrac{60}{2}=\dfrac{300}{T} \\
 & \Rightarrow 60T=300\times 2 \\
 & \Rightarrow T=\dfrac{300\times 2}{60} \\
 & \Rightarrow T=10h \\
\end{align}$