Question

On a drive from your house to town, you wish to average 52 mph. The distance from your home to town is 92 miles. However, at 46 miles (half way), you fine you have averaged only 39 mph.

What average speed must you maintain in the remaining distance in order to have an overall average speed of 52 mph?

Answer 1

To have an overall average speed of 52 mph, you must maintain at least an average speed of 184 mph for the remaining distance.

Step-by-step explanation:

To average 52 mph for the entire trip, you need to calculate the average speed for the remaining distance. Let's assume you maintain an average speed of x mph for the remaining distance. The distance from your house to the halfway point is 46 miles, and you have averaged 39 mph for this distance. Therefore, the time taken for this distance is 46/39 = 1.179 hours.

The time taken for the remaining distance (92 - 46 = 46 miles) should be (92 - 46)/x = 0.5 hours. Solving this equation, we get x = 92/0.5 = 184 mph.

To have an overall average speed of 52 mph, you must maintain at least an average speed of 184 mph for the remaining distance.