Two boats A and B are moving along perpendicular paths in a still lake at night. Boat A move with a speed of `3 m//s` and boat B moves with a speed of `4 m//s` in the direction such that they collide after sometime. At `t=0`, the boats are `300 m` apart. The ratio of distance of distance travelled by boat A to the distance travelled by boat B at the instant of collision is :-

Options

A. 1
B. `1//2`
C. `3//4`
D. `4//3`

Answer

C

Explanation

`300^(2)=(3t)^(2)+(4t)^(2)`
`300xx300=25t^(2)`
`t=60`
Ratio`=(3xx2sqrt(3))/(4xx2sqrt(3))=3:4`