Question

Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is behind the simulated biker, he has a negative position. Julian sets the simulated biker to a speed of 20\,\dfrac{\text{km}}{\text{h}}20 h km ​ 20, space, start fraction, k, m, divided by, h, end fraction. After he rides his bike for 151515 minutes, Julian's app reports a position of -2\dfrac{1}{4}\,\text{km}−2 4 1 ​ kmminus, 2, start fraction, 1, divided by, 4, end fraction, space, k, m. What has Julian's average speed been so far?

Answer 1

Answer:

11 km/hr.

Step-by-step explanation:

Given information:

Simulated speed = 20/km/h

Time = 15 mins = 1/4 hr = 0.25 hr

Distance Covered as per simulated speed = $20\times \frac{1}{4}=5km$

Position of Julian according to the app = $-2\frac{1}{4}=-2.25$.

Actual distance covered by the bike is

$Distance= 5 - 2.25 = 2.75km$

Formula for speed:

$\text{Average Speed}=\frac{Distance}{Time}$

$\text{Average Speed}=\frac{2.75}{0.25}$

$\text{Average Speed}=11$

Therefore, the average speed of Julian is 11 km/hr.