A goa can travel at a speed of 8 kmh−1 in still water on a lake. In the flowing water of a stream, it can move at 8kmh −1 relative to the water in the stream. If the stream speed is 3kmh −1 , how fast can the boat move past a tree on the shore in travelling (i) upstream (ii) downstream?

Question : A goa can travel at a speed of 8 kmh−1 in still water on a lake. In the flowing water of a stream, it can move at 8kmh −1 relative to the water in the stream. If the stream speed is 3kmh −1 , how fast can the boat move past a tree on the shore in travelling (i) upstream (ii) downstream?

(A) 5kmh^{-1}and 11kmh^{-1}

(B) 11kmh^{-1}and 5kmh^{-1}

(C) 8kmh^{-1}and 8kmh^{-1}

(D) 5kmh^{-1}and 5kmh^{-1}

Answer : option (A)

Solution :

A goa can travel at a speed of 8 kmh−1 in still water on a lake. In the flowing water of a stream, it can move at 8kmh −1 relative to the water in the stream. If the stream speed is 3kmh −1 , how fast can the boat move past a tree on the shore in travelling (i) upstream (ii) downstream?
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