Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.
We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.
Upon equating equation (1) and equation (2), we will get:
Upon substituting in equation (1), we will get:
Therefore, Mai lives 384 miles away from the mountains.
Answer:
a
Step-by-step explanation:
240
Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;
<h3>How can the correct equation be found?</h3>
The distance the cyclist rides against the wind = 5 miles
The distance the cyclist rides with the wind = 10 miLes
Let <em>t </em>represent the time it took the cyclist in both directions, we have;
Where;
v = The cyclist's average rate of speed
Which gives;
10 × (v - 4) = 5 × (v - 4)
10v - 40 = 5v - 20
5v = 20
v = 20 ÷ 5 = 5
The equation that can be used to calculate the cyclist's average rate of speed is therefore;
Learn more about average speed here:
brainly.com/question/6504879
