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nordsb
1 month ago
13

Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh

ind 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?
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
5 0

Answer:

11 km/h.

Step-by-step explanation:

Provided details:

Simulated speed = 20 km/h

Duration = 15 minutes = 1/4 hr = 0.25 hr

Distance covered according to simulated speed = 20\times \frac{1}{4}=5km

Julian's position as reported by the app = -2\frac{1}{4}=-2.25.

Actual distance biked is

Distance= 5 - 2.25 = 2.75km

Speed formula:

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

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

\text{Average Speed}=11

Thus, Julian's average speed is 11 km/h.

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