QUESTION 24 • 5 POINTS
Audrey can hike 6 miles on a trail in the same time that she can ride her bike 25 miles on a road. Her hiking speed is 9 miles
per hour slower than her riding speed. Find her riding speed. Round to the nearest tenth.

Her riding speed is "11.84 mph".

Step-by-step explanation:

In order to solve this problem we will say that Audrey's riding speed is equal to "x" mph. Since her hiking speed is 9 mph less than her riding speed, then it is "x -9" mph. The average speed formula is given by:

speed = distance/time

Thefore the time to travel a certain distance with a certain speed is:

time = distance/speed

Her time to hike 6 miles is the same as her time to ride 25 miles, therefore:

ride time = hike time

25/x = 6/(x - 9)

25(x-9) = 6x

25x -225 = 6x

19x = 225

x = 225/19 = 11.84 mph

Her riding speed is "11.84 mph".