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1.

What is the speed of the boat in still water?

I. 

The speed downstream is 12 kmph.

II. 

The speed upstream is 4 kmph.

 III. 

In a to and fro journey between two points, the average speed of the boat was 6 kmph.

I and II only

All I, II and III

III, and either I or II

Any two of the three

None of these

Answer: Option

Explanation:

 

From I and II, the speed of the boat in still water = 1 (12 + 4) km/hr = 8 km/hr.
2

 

From II and III, we get:

 

Using average speed = 2xy , we get: 2 x 4 x y = 6
x + y 4 + y

 

 8y = 24 + 6y

 y = 12.

 

 Required speed = 1 (12 + 4) km/hr = 8 km/hr.
2

 

Similarly, I and III also give the answer.

 The correct answer is (D).

why x is taken as downstream in 3rd case?

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