Question

It is 260 km from Patna to ranchi by air and 320 km by road. An plane takes 30 min to go frm Patna to ranchi whereas a deluxe bus takes 8 hrs. A) find the average speed of tha plane.b) find avg speed of the bus.c) find avg velocity of the plane.d) find avg velocity of the bus.

Answer 1

Total distance from patna to ranchi by airplane = 260 km
Time taken by plane to reach from patna to ranchi = 30 min = 1/2 hr
(A) Therefore, average speed of plane = $\frac{Totaldis\tan cetravelled}{Totaltimetaken}=\frac{260}{1/2}=520km/hr$

(C) Average velocity of plane = $\frac{displacement}{timetaken}=\frac{260}{1/2}=520km/hr$

Total distance from patna to ranchi by bus = 320 km
Time taken by bus to reach from patna to ranchi = 8 hr
(B) therefore, average speed of bus = average velocity of bus = $\frac{totaldis\tan cetravelled}{totaltimetaken}=\frac{320}{8}=40km/hr$