A place can cover 6000km in 8 hours. If the speed is increased by 250 kmph, then the time taken by the plane to cover 9000 km is

Options

A. 8 hours
B. 6 hours
C. 5hours
D. 9 hours

Answer

To solve the problem step by step, we will follow the outlined process to find the time taken by the plane to cover 9000 km after its speed is increased.

### Step 1: Calculate the initial speed of the plane
The speed of the plane can be calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Given that the distance covered is 6000 km and the time taken is 8 hours, we can substitute these values into the formula:
\[ \text{Speed} = \frac{6000 \text{ km}}{8 \text{ hours}} = 750 \text{ km/h} \]

### Step 2: Calculate the new speed after the increase
The problem states that the speed is increased by 250 km/h. Therefore, we can calculate the new speed as follows:
\[ \text{New Speed} = \text{Initial Speed} + \text{Increase} \]
Substituting the values we found:
\[ \text{New Speed} = 750 \text{ km/h} + 250 \text{ km/h} = 1000 \text{ km/h} \]

### Step 3: Calculate the time taken to cover 9000 km at the new speed
Now, we need to find the time taken to cover 9000 km with the new speed of 1000 km/h. We can use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting the values:
\[ \text{Time} = \frac{9000 \text{ km}}{1000 \text{ km/h}} = 9 \text{ hours} \]

### Final Answer
The time taken by the plane to cover 9000 km at the increased speed is **9 hours**.

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