Let's solve each part of the problem step by step.

Part (a) - Solve the formula for $t$:

The formula for distance is given by: $d = rt$ To solve for $t$, follow these steps:

1. Divide both sides of the equation by $r$ to isolate $t$: $t = \frac{d}{r}$

So, the formula solved for $t$ is: $t = \frac{d}{r}$

Part (b) - Calculate the time of travel:

You are given a distance $d = 330$ miles and an average rate $r = 60$ miles per hour. Using the formula derived in part (a): $t = \frac{d}{r}$

Substitute the known values: $t = \frac{330}{60}$

Now, let's calculate the value of $t$: $t = 5.5 \text{ hours}$

So, it will take 5.5 hours to travel 330 miles at an average speed of 60 miles per hour.

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Would you like any further details or explanations on these steps?

Related Questions:

1. How long would it take to travel 450 miles at an average speed of 60 miles per hour?
2. If you travel for 7 hours at a speed of 55 miles per hour, what distance will you cover?
3. What would the time be if the distance was 330 miles and the speed was increased to 70 miles per hour?
4. How does the time change if the speed is reduced by 10 miles per hour while the distance remains the same?
5. If the distance is doubled, how does the required time change at the same speed?

Tip:

Remember that time is directly proportional to distance when the speed is constant. This means that if you double the distance, the time will also double if the speed remains the same.