It is 260 km from Patna to Ranchi by air and 320 km by road.

Question:

It is 260 km from Patna to Ranchi by air and 320 km by road. An aero plane takes 30 minutes to go from Patna to Ranchi whereas a deluxe 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.

Solution:

(a) $\vec{V}_{\text {avgpplane }}=\frac{\text { distance }}{\text { time }}=\frac{260}{0.5}=520 \mathrm{kmph}$

(b) $\vec{V}_{\text {avglius }}=\frac{\text { distance }}{\text { time }}=\frac{320}{8}=40 \mathrm{kmph}$

(c) $\vec{V}_{\text {angplolane }}=\frac{\text { displacement }}{\text { time }}=\frac{260}{0.5}=520 \mathrm{kmh}$

(d) $\vec{V}_{\text {avglbus }}=\frac{\text { displacement }}{\text { time }}=260 / 8=32.5 \mathrm{kmph}$

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