Question

brian visited a mountain park with trails for hiking, mountain biking, horseback riding, and cross - country skiing. the chart shows the time brian spent doing each activity. brian biked the yellow trail loop that circles the park. he rode at an average speed of 12.2 miles per hour. how many miles did brian bike?

brians activity time (hours)
hiking 3
mountain biking 1.45
horseback riding 1.2
cross - country skiing 0.75

12.2
× 1.45
610
1880
+(_)
brian biked a distance of ( ) miles.

Explanation:

Step1: Recall distance - speed - time formula

The formula for distance $d$ is $d = s\times t$, where $s$ is speed and $t$ is time.

Step2: Identify speed and time values

The speed $s = 12.2$ miles per hour and the time $t=1.45$ hours for mountain - biking.

Step3: Calculate the distance

$d=12.2\times1.45$.
First, calculate $122\times145 = 122\times(100 + 40+5)=122\times100+122\times40 + 122\times5=12200+4880 + 610=17690$.
Since $12.2\times1.45$ has a total of 3 decimal places in the factors, the result is $17.69$.

Answer:

$17.69$