The speed of a boat in still water is 15 km/h and the speed of stream is 3 km/h. The distance traveled downstream in 12 minutes is

Options

A. 4 km
B. 3.6 km
C. 4.8 km
D. 8 km

Answer

To solve the problem, we need to find the distance traveled downstream by the boat in 12 minutes. Here's a step-by-step solution:

### Step 1: Identify the speeds
- Speed of the boat in still water = 15 km/h
- Speed of the stream = 3 km/h

### Step 2: Calculate the effective speed downstream
When the boat is moving downstream, the effective speed is the sum of the speed of the boat and the speed of the stream.

Effective speed downstream = Speed of the boat + Speed of the stream
= 15 km/h + 3 km/h
= 18 km/h

### Step 3: Convert time from minutes to hours
Since the speed is given in km/h, we need to convert the time from minutes to hours.

Time = 12 minutes = 12/60 hours = 0.2 hours

### Step 4: Calculate the distance traveled downstream
Distance = Speed × Time
Distance = Effective speed downstream × Time
= 18 km/h × 0.2 hours
= 3.6 km

### Final Answer
The distance traveled downstream in 12 minutes is **3.6 km**.

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