Rocket's speed is 313 of sound's speed.What is the ratio of sound's speed to Rocket's speed?Express your answer in simplest form.

1. Break Down the Problem

We need to find the ratio of the speed of sound to the speed of the rocket. Given that the rocket's speed is 313 times the speed of sound, we can denote:

• Let $V_s$ be the speed of sound.
• Then the rocket's speed $V_r = 313 V_s$.

2. Relevant Concepts

The ratio of two quantities $A$ and $B$ can be expressed as: $\text{Ratio} = \frac{A}{B}$ In our case, to find the ratio of the speed of sound to the speed of the rocket, we will calculate: $\text{Ratio} = \frac{V_s}{V_r}$

3. Analysis and Detail

Substituting the expression for $V_r$: $\text{Ratio} = \frac{V_s}{313 V_s}$ When we simplify this expression: $\text{Ratio} = \frac{1}{313}$

4. Verify and Summarize

The simplification shows that the speed of sound is 1 part while the speed of the rocket is 313 parts in this context.

Final Answer

The ratio of the speed of sound to the rocket's speed is $\frac{1}{313}$.