Question

A particle covers each 1/3 of the total distance with speed v1,v2,v3 respectively .find thw average speed of teh particle

Answer 1

let the total distance travelled be d. time taken to travel d/3 with speed v1= distance travelled /speed =d/3v1 . Similarly, time taken to travel d/3 with speed v2 and time taken to travel d/3 with speed v3 =d/3v2 and d/3v3 .So average speed of the particle = total distance travelled/time taken=
d/d/3v1+d/3v2+d/3v3 = 3/1/v1+1/v2+1/v3 =
3(v1)(v2)(v3)/(v1)(v2)+(v2)(v3)+(v1)(v3) . Hope it helps you...