Question

Two equations are written to express how far a car can go when driving on different roads. On Road 1, the car can go 60 miles in 2 hours. On Road 2, the car can go 90 miles in 4 hours. Write an equation where

Answer 1

To express how far a car can go on different roads based on the information provided, we need to derive the rate of speed for each road.

**For Road 1:**
- Distance = 60 miles
- Time = 2 hours

The speed (rate) can be calculated as:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{60 \text{ miles}}{2 \text{ hours}} = 30 \text{ miles per hour}
\]

So, the equation for the distance \(d\) the car can travel on Road 1 over time \(t\) in hours is:
\[
d = 30t
\]

**For Road 2:**
- Distance = 90 miles
- Time = 4 hours

Similarly, we find the speed for Road 2:
\[
\text{Speed} = \frac{90 \text{ miles}}{4 \text{ hours}} = 22.5 \text{ miles per hour}
\]

Hence, the equation for the distance \(d\) the car can travel on Road 2 over time \(t\) in hours is:
\[
d = 22.5t
\]

In summary, the equations can be expressed as:
- For Road 1: \(d = 30t\)
- For Road 2: \(d = 22.5t\)

Let me know if you need further assistance!