A boat travels (48\text{ km}) downstream and (32\text{ km}) upstream in a total of (10\text{ h}). The speed in still water is (10\text{ km/h}). What is the speed of the stream?

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Correct answer: (2\text{ km/h})

Let the stream speed be (x), then (\frac{48}{10+x}+\frac{32}{10-x}=10). This gives (x^2+4x-12=0), so (x=2).

What is the correct answer to this question?

(2\text{ km/h})

Why is this the correct answer?

Let the stream speed be (x), then (\frac{48}{10+x}+\frac{32}{10-x}=10). This gives (x^2+4x-12=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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