A crow takes 150second to fly from pole Ato pole B against a strong breeze blowing at 1.5m/s .Flying back from pole B to pole A with the breeze, it take just 114 second. How fast can the crow fly through still air?
Let the distance b/w poles be x m and the speed of crow in still air be y m/sec.
Speed of crow against breeze =(y-1.5) m/src.
" " " with " =(y+1.5) m/sec
Applying formula,
d=s×t
In first case,
x=(y-1.5)×150=150y-225 .....(1)
In 2nd case,
x=(y+1.5)×114=114y+171 .....(2)
From equations (1) and (2), we get
150y-225=114y+171
or,150y-114y=171+225
or,36y=396
or, y=11
Hence the crow can fly with speed of 11 m/sec. through still air.