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
20kmh20\,\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
1515
15
15
minutes, Julian's app reports a position of
−214km-2\dfrac{1}{4}\,\text{km}
−2
4

1
​

km
minus, 2, start fraction, 1, divided by, 4, end fraction, space, k, m
.
What has Julian's average speed been so far?

Answer 1

Answer:

Step-by-step explanation:

15 minutes is 1/4 of an hour, so after 12 minutes his target distance would be 20/4 km = 5 km.  

Since Julian is at a negative position we know he is behind the target of 5km by -2 1/4.

So subtract 2 1/4 from 5 to get Julians current position.

5- 2 1/4 = 2.75

Now we know he has traveled 2.75km after 15 minutes.  If we want to find out his speed in km/h we need to convert 15 mins to hours (.4 hr) and then divide 2.75 by that number.

2.75/.4 = 6.875

Answer 2

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