For every 10 volts of electricity, a go kart can travel 5.662 mph faster. How much faster can it travel using 240 volts?

1. Break Down the Problem

We need to determine how much faster the go-kart can travel with an increase of voltage from the baseline of 10 volts to 240 volts.

2. Relevant Concepts

The relationship between voltage and speed is linear here:

• For every 10 volts, the speed increases by 5.662 mph.

3. Analysis and Detail

1. First, calculate the total increase in voltage from 10 volts to 240 volts: $\text{Increase in voltage} = 240 \text{ volts} - 10 \text{ volts} = 230 \text{ volts}$

2. Next, determine how many 10-volt increments fit into the increase of 230 volts: $\text{Number of 10-volt increments} = \frac{230 \text{ volts}}{10 \text{ volts}} = 23$

3. Now, we calculate the total increase in speed: $\text{Increase in speed} = 23 \times 5.662 \text{ mph} = 130.226 \text{ mph}$

4. Verify and Summarize

The speed increases by 130.226 mph when increasing voltage to 240 volts.

Final Answer

The go-kart can travel 130.226 mph faster using 240 volts.