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A boat covers (24) km downstream and (16) km upstream in (4) hours. Its speed in still water is (10) km per hour. What is the speed of the current?

Answer and explanation

Correct answer: (2) km per hour

Let the current speed be (x). Then (\frac{24}{10+x}+\frac{16}{10-x}=4). This gives (4x^2+8x-16=0), so (x=2).

Related tags

Quadratic EquationsBoat Upstream DownstreamCurrentWord Problems And ApplicationsMathematicsClass 10 Mcq

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