Ram swims in a 75 m long pool . He covers 150 m in one minute by swimming from each end to the other and back along the same straight path . Find his average speed .

Options

A. `2.00 ms^(-1)`
B. `2.5 ms^(-1)`
C. `2.25 ms^(-1)`
D. `2.05 ms^(-1)`

Answer

To find Ram's average speed while swimming in a 75 m long pool, we can follow these steps:

### Step 1: Understand the Problem
Ram swims from one end of the pool to the other and back. The length of the pool is 75 meters.

### Step 2: Calculate the Total Distance
When Ram swims from one end to the other and back, he covers:
- Distance from one end to the other = 75 m
- Distance from the other end back to the starting point = 75 m

So, the total distance covered by Ram is:
\[ \text{Total Distance} = 75 \, \text{m} + 75 \, \text{m} = 150 \, \text{m} \]

### Step 3: Determine the Total Time
The total time taken by Ram to cover this distance is given as 1 minute. We need to convert this into seconds for our calculations:
\[ \text{Total Time} = 1 \, \text{minute} = 60 \, \text{seconds} \]

### Step 4: Use the Average Speed Formula
The formula for average speed is:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

Substituting the values we calculated:
\[ \text{Average Speed} = \frac{150 \, \text{m}}{60 \, \text{s}} \]

### Step 5: Calculate the Average Speed
Now, we perform the division:
\[ \text{Average Speed} = 2.5 \, \text{m/s} \]

### Final Answer
Ram's average speed is **2.5 meters per second**.

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