Speed of a speed-boat when moving in the direction parallel to the direction of the current is 16 km/hr. Speed of the current is 3 km/hr. So the speed of the boat against the current will be (in km/hr)

Options

A. 22
B. 9.5
C. 10
D. None of these

Answer

To find the speed of the boat against the current, we can follow these steps:

### Step 1: Identify the speed of the boat and the speed of the current
- The speed of the boat when moving with the current is given as 16 km/hr.
- The speed of the current is given as 3 km/hr.

### Step 2: Calculate the speed of the boat in still water
- The speed of the boat in still water can be calculated by subtracting the speed of the current from the speed of the boat moving with the current.

\[ \text{Speed of boat in still water} = \text{Speed of boat with current} - \text{Speed of current} \]

\[ \text{Speed of boat in still water} = 16 \text{ km/hr} - 3 \text{ km/hr} = 13 \text{ km/hr} \]

### Step 3: Calculate the speed of the boat against the current
- The speed of the boat against the current is equal to the speed of the boat in still water minus the speed of the current.

\[ \text{Speed of boat against current} = \text{Speed of boat in still water} - \text{Speed of current} \]

\[ \text{Speed of boat against current} = 13 \text{ km/hr} - 3 \text{ km/hr} = 10 \text{ km/hr} \]

### Final Answer
- The speed of the boat against the current is **10 km/hr**.

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