Q. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?
Answer: 4.5 km/hr
Notes: Speed in still water = x km/hr
Speed of current = y km/hr
$latex \therefore x + y = \frac{1}{\frac{4}{60}} = 15&s=1$
$latex x-y = \frac{1}{\frac{10}{60}} = 6&s=1$
∴ Speed of current =
$latex = \frac{1}{2}\left [ \left ( x+y \right )-\left ( x-y \right ) \right ]&s=1$
$latex = \frac{1}{2}(15-6) = \frac{9}{2} = 4.5 km/hr&s=1$
Hence option [B] is correct answer.