Question

A school bus covers a distance from village to school at the speed of $12$ kmph and reaches the school $8$ min late. The next day the school bus covers same distance at the speed of $20$ kmph and reaches $10$ min early. what is the distance between village and school.

• A. $8$ km
• B. $9$ km
• C. $10$ km
• D. $12$ km

Answer 1

Answer: (B)

$9$ km

Let us assume that $T$ is the time in which bus should reach the school and $D$ is the distance to be traveled.

As per the question $D=V_1(T+8)$ $=V_2(T-10)$, where $V_1$ and $V2$ are speeds of the bus on day one and day two.

$\Rightarrow \frac{V_1}{V_2}=\frac{T-10}{T+8}$

$\Rightarrow \frac{12}{20}=\frac{T-10}{T+8}$

$T=37$ minutes

$V_1=12\times \frac{5}{18}=\frac{10}{3}$ m/s

Hence, $D=\frac{10}{3}\times (37+8)=900$ m $=9$ km