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Flauer [41]
4 years 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:
Gwar [14]4 years ago
5 0

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.

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Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish the problem as the following:

= 78.32 / 0.22

First, we will make the deniminator a whole number. In order to accomplish this, we will multiply both the numerator and denominator in the fraction by 100.

= ( 78.32 × 100 ) / ( 0.22 × 100 )

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Next we will divide both the numerator and denominator by the highest common factor ( HCF ) of the two numbers in order to simplify the fraction fully.

The highest common factor of 7832 and 22 is 22.

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This means that we will divide both the numerstor and denominator of the fraction by 22.

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FINAL ANSWER:

Therefore, the answer is: 356.

Hope this helps! :)
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