Question

The Airbus A330 and A350, two popular wide-body airplanes, have different cruising speeds. This table shows the number of miles the A330 can cover at cruising speed over time:
A330's distance
Time (hours) Distance (miles)
0.5 315
1.5 945
2 1,260
This equation describes the number of miles, y, the A350 can cover at cruising speed in x hours:
y=652x
Which plane has a faster cruising speed?
How much faster is it?
miles per hour faster

Answer 1

To determine which plane has a faster cruising speed, we first need to calculate the cruising speed of the Airbus A330 based on the provided data.

### Airbus A330 Speed Calculation
To find the speed, we can use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
From the data given for the A330, let's calculate the speed for each time point:

1. For 0.5 hours and 315 miles:
\[
\text{Speed} = \frac{315 \text{ miles}}{0.5 \text{ hours}} = 630 \text{ mph}
\]

2. For 1.5 hours and 945 miles:
\[
\text{Speed} = \frac{945 \text{ miles}}{1.5 \text{ hours}} = 630 \text{ mph}
\]

3. For 2 hours and 1,260 miles:
\[
\text{Speed} = \frac{1,260 \text{ miles}}{2 \text{ hours}} = 630 \text{ mph}
\]

The cruising speed of the Airbus A330 is consistently **630 mph**.

### Airbus A350 Speed Calculation
The cruising speed of the Airbus A350 is given by the equation:
\[
y = 652x
\]
To find the speed, we can substitute \(x = 1\) hour, for example:
\[
\text{Speed}_{A350} = \frac{652 \text{ miles}}{1 \text{ hour}} = 652 \text{ mph}
\]

### Comparison of Speeds
Now that we have both speeds:
- A330: **630 mph**
- A350: **652 mph**

Next, we find out how much faster the A350 is compared to the A330:

\[
\text{Difference in speed} = 652 \text{ mph} - 630 \text{ mph} = 22 \text{ mph}
\]

### Conclusion
The Airbus A350 has a faster cruising speed than the Airbus A330. It is **22 miles per hour faster**.