An object travels 23 m in 3 s and then another 15 min in 2 s. What is the average speed of the object?

Options

A. 7.6 `ms^(-1)`
B. `7.6 s^(-1)`
C. `8.0 `ms^(-1)`
D. 7.6m

Answer

To find the average speed of the object, we can follow these steps:

### Step 1: Calculate the total distance traveled
The object travels two distances:
- First distance: 23 meters
- Second distance: 15 meters

**Total Distance = First Distance + Second Distance**
\[ \text{Total Distance} = 23 \, \text{m} + 15 \, \text{m} = 38 \, \text{m} \]

### Step 2: Calculate the total time taken
The time taken for each distance is:
- Time for the first distance: 3 seconds
- Time for the second distance: 2 seconds

**Total Time = Time for First Distance + Time for Second Distance**
\[ \text{Total Time} = 3 \, \text{s} + 2 \, \text{s} = 5 \, \text{s} \]

### Step 3: Calculate the average speed
The formula for average speed is:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

Substituting the values we calculated:
\[ \text{Average Speed} = \frac{38 \, \text{m}}{5 \, \text{s}} \]

### Step 4: Perform the division
Calculating the average speed:
\[ \text{Average Speed} = 7.6 \, \text{m/s} \]

### Final Answer
The average speed of the object is **7.6 m/s**.

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