A boat goes (30) km downstream and (20) km upstream in (5) hours. The speed of the boat in still water is (12) km per hour. What is the speed of the current?

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Answer and explanation

Correct answer: (2) km per hour

Let the current speed be (x). Then (\frac{30}{12+x}+\frac{20}{12-x}=5). Solving gives (5x^2+10x-60=0), so (x=2).

What is the correct answer to this question?

(2) km per hour

Why is this the correct answer?

Let the current speed be (x). Then (\frac{30}{12+x}+\frac{20}{12-x}=5). Solving gives (5x^2+10x-60=0), so (x=2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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