greta is taking a road trip from cincinnati to san francisco. on the first day, she drove 650 miles in 10…

greta is taking a road trip from cincinnati to san francisco. on the first day, she drove 650 miles in 10 hours. on the second day, she got a later start and drove 540 miles in 8 hours. how many miles per hour faster was her average speed the second day? write your answer as a decimal or a whole number. miles per hour

greta is taking a road trip from cincinnati to san francisco. on the first day, she drove 650 miles in 10 hours. on the second day, she got a later start and drove 540 miles in 8 hours. how many miles per hour faster was her average speed the second day? write your answer as a decimal or a whole number. miles per hour

Answer

Explanation:

Step1: Calculate the first - day speed

The formula for speed is $v=\frac{d}{t}$, where $d$ is distance and $t$ is time. On the first day, $d_1 = 650$ miles and $t_1=10$ hours. So the first - day speed $v_1=\frac{650}{10}=65$ miles per hour.

Step2: Calculate the second - day speed

On the second day, $d_2 = 540$ miles and $t_2 = 8$ hours. So the second - day speed $v_2=\frac{540}{8}=67.5$ miles per hour.

Step3: Find the difference in speeds

To find how many miles per hour faster the second - day speed is than the first - day speed, we subtract the first - day speed from the second - day speed. $v = v_2 - v_1$. Substitute $v_1 = 65$ and $v_2=67.5$ into the formula: $v=67.5 - 65=2.5$ miles per hour.

Answer:

2.5