Two swimmers P and Q start swimming from different positions on the same bank as shown in the figure. The swimmer P swims at an angle `90^(@)` with respect to the river to reach point A. He takes 120 second to cross the river of width 10m. The swimmer Q also takes the same time to reach the point A. the velocity component of Q along x-axis with respect to ground is K/24. Find the value of K.

Explanation

from `P V_("swimmer")=(10)/(120)=(1)/(12)ms^(-1)`
`V_("river")=(30)/(120)=(1)/(4)ms^(-1)`
For `Q x=UxxtrArr25=(K)/(24)xx120`