Question

It is 260 from Patna to Ranchi by air and 320 km by road. An Aeroplane takes 30 minutes to go from Patna to Ranchi Whereas a delux bus takes 8 hours.

(a) Find the average speed of the plane.

(b) Find the average speed of the bus.

(c) Find the average velocity of the plane.

(d) Find the average velocity of the bus.

Answer 1

(a) $V_{av}$ of plane=$\left(\frac{\text{Distance}}{\text{Time}}\right)$

=$\frac{260}{0.5}$=520 $\frac{\text{km}}{\text{hr}}$

(b)$V_{ab}$ of bus=$\frac{320}{8}=40\frac{\text{km}}{\text{hr}}$

(c) Plane goes in straight path

Velocity, ${\overline{V}}_{av}=\frac{260}{0.5}=520\frac{\text{km}}{\text{hr}}$

(d) Straight path distance between plane to Ranchi is eqal to the displacement of bus

$\therefore {\overline{V}}_{av}=\frac{260}{8}$

=32.5 $\frac{\text{km}}{\text{hr}}$