Eli walk from her house to a friends house in one hour. She can travel the same Distance on her bicycle in 15 minutes. If she rides 6 mph faster than she can walk, What is her speed on the bicycle?

Answer: her speed on the bicycle is 8 mph

Step-by-step explanation:

Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph

Distance = speed * time

Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 * x = x miles.

Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25 (x + 6) = 0.25x + 1.5

Since the distance is the same, then

x = 0.25x + 1.5

x - 0.25x = 1.5

0.75x = 1.5

x = 1.5/0.75

x = 2

her speed on the bicycle is

x + 6 = 2 + 6 = 8 mph