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:

Question

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.