Speed of a boat along the current and against the current are 16 km/hr and 10 km/hr respectively. What is the speed (in km/hr) of the current?

Options

A. a)2
B. b)3
C. c)4
D. d)1

Answer

To find the speed of the current based on the given speeds of the boat along and against the current, we can follow these steps:

### Step 1: Understand the Terms
- **Downstream Speed (along the current)**: This is the speed of the boat when it is moving with the current. In this case, it is given as 16 km/hr.
- **Upstream Speed (against the current)**: This is the speed of the boat when it is moving against the current. In this case, it is given as 10 km/hr.

### Step 2: Use the Formula for Current Speed
The speed of the current can be calculated using the formula:
\[ \text{Speed of Current} = \frac{\text{Downstream Speed} - \text{Upstream Speed}}{2} \]

### Step 3: Substitute the Values
Now, substitute the given values into the formula:
\[ \text{Speed of Current} = \frac{16 \text{ km/hr} - 10 \text{ km/hr}}{2} \]

### Step 4: Perform the Calculation
Calculate the difference:
\[ 16 \text{ km/hr} - 10 \text{ km/hr} = 6 \text{ km/hr} \]
Now divide by 2:
\[ \text{Speed of Current} = \frac{6 \text{ km/hr}}{2} = 3 \text{ km/hr} \]

### Final Answer
The speed of the current is **3 km/hr**.

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