A person travels along a straight road due east for the first half distance with speed V1 and the second half with speed V2 . what is the average speed of the person ?????????
plzzzzzzzzzzzz if possible answers it before today night ,because its to urgent ;;;;;;;;;;;;;;;;thank u
Lets calculate the time taken by the person to travel the whole distance
so,
for first half of the journey (as time = distance/speed)
t1 = (x/2) / v1
and
for the second half
t2 = (x/2) / v2
so, total time taken
t = t1 + t2 = (x/2) /v1 + (x/2) / v2
or t = (x/2) [(1/v1) + (1/v2)]
so,
t = x(v1+v2) / 2.(v1v2)
now, the average speed = total distance/ time taken
thus,
average speed, v = x / t
or
v = x / x(v1+v2) / 2.(v1v2)
finally, the average speed is
v = 2.(v1v2) / (v1 + v2)