layla loves to try out new bike trails in her area. last week, it took her 24 minutes to ride a trail that…

layla loves to try out new bike trails in her area. last week, it took her 24 minutes to ride a trail that is 6 miles long. today, she kept the same pace when she rode an 8 - mile trail. how long did it take layla to ride the trail today? minutes

layla loves to try out new bike trails in her area. last week, it took her 24 minutes to ride a trail that is 6 miles long. today, she kept the same pace when she rode an 8 - mile trail. how long did it take layla to ride the trail today? minutes

Answer

Explanation:

Step1: Calculate the speed

Speed = Distance / Time. Last - week, distance $d_1 = 6$ miles and time $t_1=24$ minutes. So the speed $v=\frac{d_1}{t_1}=\frac{6}{24}=\frac{1}{4}$ miles per minute.

Step2: Calculate the time for today's ride

Today, the distance $d_2 = 8$ miles. Using the formula Time = Distance / Speed, we substitute $d_2$ and $v$ into it. $t_2=\frac{d_2}{v}=\frac{8}{\frac{1}{4}}=8\times4 = 32$ minutes.

Answer:

32