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Velocity = Distance ÷ Time.

The speed upstream = 300 ÷ 5 = 60kph.

The speed downstream = 300 ÷ 2 = 150 kph.

The speed upstream equals boat velocity(Vb) minus current velocity(Vc).

The speed downstream equals boat velocity (Vb) pluscurrent velocity (Vc).

Vb - Vc = 60

Vb + Vc = 150 : Adding the two equations together gives :-

2Vb = 210 : Vb = 105, therefore Vc = 45

The rate of the boat in still water is 105 kph. The rate of the current is 45 kph.

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Q: A motorboat takes 5 hours to travel 300 km going upstream The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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