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

1 answer

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: \(d = 22.5t\)

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