Question

A motor vehicle left point $A$ and reached the point $B$ by travelling in a straight line for $2$ hours. The vehicle travelled half of the distance at a speed of $v$. The distance between A and B is:

Answer 1

Consider the car moves with constant speed from $A$ to $B$. According to the question, the car moves half the distance at speed $v$.

Since the car moving at a constant speed. So it took $1$ hour to cover half the distance.

$d_1=v\times 1$

$\Rightarrow d_1=v$

The next half is also covered with speed $v$ in $1$ hour.

(Since it is in uniform motion)

So,

$d_2=v\times 1$

$\Rightarrow d_2=vm$

Hence, total distance,

$d=d_1+d_2$

$\Rightarrow d=(v+v)m$

$\Rightarrow d=2vm$