Q39. - Algebra 2

Question

TRAVEL For Exercises 38 and 39, use the figure at the right, where a grid is superimposed on a map of a portion of the state of Alabama.

 How long would it take a plane to fly from Huntsville to Montgomery if its average speed is 180 miles per hour?

Step-by-Step Solution

Answer

The plane will take 0.89 hours.

Step 1. Given

The given grid is:

Step-2 – To determine

How long would it take a plane to fly from Huntsville to Montgomery if its average speed is 180 miles per hour?

Step 3. Calculation

From the graph we see, the distance between Huntsville and Montgomery is 4 units.

Given: 1 unit = 40 miles.

So, 4 units = 4(40) = 160 miles.

Hence, the distance is 160 miles (approx.).

The given speed of the plane is 180 miles per hour.

So, the time required is:

$\frac{\text{Distance}}{\text{Speed}}=\frac{160}{180}=0.89$ hours.

Hence, the plane will take 0.89 hours.