Question

Brianna is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 19 miles. If Brianna drives at an average speed of 40 miles per hour during the entire trip, how much time, in hours and minutes, will it take her to drive from City X to City Y?​

Answer 1

Brianna will take 1 hour and 54 minutes to drive from City X to City Y.

Step-by-step explanation:

To calculate the time it will take for Brianna to drive from City X to City Y, we need to find the distance between the two cities using the scale drawing and then divide it by her average speed.

First, let's find the actual distance between City X and City Y. Since the scale is ¼ inch = 19 miles, we can use a proportion to find the actual distance: ¼ inch / 19 miles = 1 inch / x miles. Cross multiplying, we get x = 19 * 4 = 76 miles.

Now, we can calculate the time it will take for Brianna to drive. Divide the distance (76 miles) by her average speed (40 miles per hour) to get the time in hours: 76 miles / 40 miles per hour = 1.9 hours. Since there are 60 minutes in an hour, multiply the decimal part (0.9) by 60 to convert it to minutes: 0.9 * 60 = 54 minutes.