A bus started at 9.45 A.M. with the speed of 80 km/h. When it will reach its destination, which is 300 km away?

Options

A. 12 o'clock at noon
B. 12.30 o'clock after noon
C. 1.30 o'clock after noon
D. 2.45 o'clock after noon

Answer

To solve the problem step by step, we need to determine how long it will take for the bus to reach its destination and then find the arrival time.

### Step 1: Identify the given information
- Speed of the bus = 80 km/h
- Distance to the destination = 300 km
- Start time = 9:45 A.M.

### Step 2: Calculate the time taken to reach the destination
We can use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Substituting the values:
\[ \text{Time} = \frac{300 \text{ km}}{80 \text{ km/h}} \]

### Step 3: Perform the division
\[ \text{Time} = \frac{300}{80} = 3.75 \text{ hours} \]

### Step 4: Convert the time into hours and minutes
3.75 hours can be broken down into:
- 3 hours
- 0.75 hours = 0.75 × 60 minutes = 45 minutes

So, the total time taken is 3 hours and 45 minutes.

### Step 5: Calculate the arrival time
Now, we need to add the travel time to the start time:
- Start time = 9:45 A.M.
- Travel time = 3 hours and 45 minutes

Adding 3 hours to 9:45 A.M. gives us:
\[ 9:45 \text{ A.M.} + 3 \text{ hours} = 12:45 \text{ P.M.} \]

Now, adding the remaining 45 minutes:
\[ 12:45 \text{ P.M.} + 45 \text{ minutes} = 1:30 \text{ P.M.} \]

### Final Answer
The bus will reach its destination at **1:30 P.M.**.

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