A car moves from the point A to B which is 210 km apart, at the speed of 60 km/hr at 9.30 in the morning. After what time will the car arrive at the point B?

Options

A. 12.00 noon
B. 12.30 p.m.
C. 1.00 p.m.
D. 1.30 p.m.

Answer

To solve the problem step by step, we need to calculate the time it takes for the car to travel from point A to point B and then determine the arrival time.

### Step 1: Identify the given information
- Distance (D) = 210 km
- Speed (S) = 60 km/hr
- Start time = 9:30 AM

### Step 2: Calculate the time taken to travel from A to B
To find the time (T) taken to travel a certain distance at a given speed, we can use the formula:
\[ T = \frac{D}{S} \]
Substituting the values:
\[ T = \frac{210 \text{ km}}{60 \text{ km/hr}} \]

### Step 3: Perform the division
Now, we can simplify the fraction:
\[ T = \frac{210}{60} = \frac{21}{6} = \frac{7}{2} \text{ hours} \]

### Step 4: Convert the time into hours and minutes
The time \( \frac{7}{2} \) hours can be expressed as:
\[ \frac{7}{2} = 3.5 \text{ hours} \]
This means 3 hours and 30 minutes.

### Step 5: Calculate the arrival time
Now, we need to add 3 hours and 30 minutes to the start time of 9:30 AM:
- Adding 3 hours to 9:30 AM gives us 12:30 PM.
- Adding 30 minutes to 12:30 PM gives us 1:00 PM.

### Conclusion
The car will arrive at point B at **1:00 PM**.

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