on rainy days, francesca likes to ride the stationary bike at the gym. yesterday, she rode for 30 minutes…
on rainy days, francesca likes to ride the stationary bike at the gym. yesterday, she rode for 30 minutes and covered 6 miles. today, she plans to ride 8 miles. if she rides at the same rate, how many minutes will it take francesca to ride today? minutes
Answer
Explanation:
Step1: Calculate the riding - speed
Speed = Distance/Time. Yesterday, distance $d_1 = 6$ miles and time $t_1=30$ minutes. So the speed $v=\frac{d_1}{t_1}=\frac{6}{30}= \frac{1}{5}$ miles per minute.
Step2: Calculate the time for today's ride
Today, distance $d_2 = 8$ miles. Since $v=\frac{d_2}{t_2}$, then $t_2=\frac{d_2}{v}$. Substitute $d_2 = 8$ miles and $v=\frac{1}{5}$ miles per minute into the formula, we get $t_2=\frac{8}{\frac{1}{5}}=8\times5 = 40$ minutes.
Answer:
40