you go up a hill at 10 miles per hour and down the hill at 30 miles per hour what is the average speed and it's not 20 miles per hour
time to go up hill = d/10
time to go down = d/30
total time = d/10 + d/30 = 4d/30
avg speed = total distance / total time
= 2d/(4d/30)
= 2d(30/4d)
= 60/4 = 15 mph
To find the average speed, we need to consider the total distance traveled and the total time taken.
Let's calculate the distance traveled for each leg of the journey separately.
When going up the hill at 10 miles per hour, we'll assume the distance is represented by "d1."
When going down the hill at 30 miles per hour, the distance is represented by "d2."
Now, since we know that speed equals distance divided by time (s = d / t), we can rearrange the equation to solve for time (t) by dividing both sides by speed (s):
t = d / s
Let's calculate the time taken for each leg of the journey:
Time taken to go up the hill: t1 = d1 / 10 mph
Time taken to go down the hill: t2 = d2 / 30 mph
Now, since the average speed (av_speed) is calculated by dividing the total distance by the total time (av_speed = total_distance / total_time), we can substitute the values we have:
av_speed = (d1 + d2) / (t1 + t2)
We can rewrite this equation by substituting the values of t1 and t2:
av_speed = (d1 + d2) / (d1/10 + d2/30)
Now, to solve for av_speed, we need the values of d1 and d2.
Unfortunately, the problem statement doesn't provide any specific distance values for going up and down the hill. Without knowing the distances traveled, it is not possible to calculate the average speed.