You gave yourself 35 min to drive 23 miles to the party, but you are caught in traffic and average 20 miles/hour for the first 15 min. What is your average speed for the rest of your journey to the party.
I am lost any help in approaching the problem wouldbe great.
distance=speed*time
23=20*15/60 + second speed*20/60
solve for second speed
distance = rate x time
15 min = 15/60 = 1/4 hr.
distance = 20 mi/hr x 1/4 hr 5.0 miles.
How much time is left? 35 minutes-15 minutes = 20 minutes = 1/3 hr (that's 20/60 = 1/3 hr).
How much distance is left? 23 miles -5 miles = 18 miles.
d=r*t
18 = r*1/3
Solve for rate in miles/hr.
18 miles = rate * 1/3
To find your average speed for the rest of the journey, you will need to determine the distance you traveled during the first 15 minutes and the time it took you to cover the remaining distance.
Given that you traveled at an average speed of 20 miles per hour for the first 15 minutes, we need to convert this into miles and add it to the remaining distance, which is 23 miles.
To convert from hours to minutes, we know there are 60 minutes in an hour. So, in 15 minutes, you have traveled:
(20 miles / 60 minutes) * 15 minutes = 5 miles
Therefore, the remaining distance is:
23 miles - 5 miles = 18 miles
Now we need to calculate the time it will take to travel 18 miles. We know that you have 35 minutes in total, and you already spent 15 minutes in traffic. Thus, you have 20 minutes left, which is the time it will take you to cover the remaining 18 miles.
Now we can calculate the average speed for the rest of your journey. We divide the remaining distance (18 miles) by the remaining time (20 minutes) to find the average speed:
Average speed = Distance / Time
Average speed = 18 miles / 20 minutes
To calculate the average speed in miles per hour, we will convert the time from minutes to hours (since our distance is in miles):
20 minutes = 20/60 = 1/3 hours
Average speed = 18 miles / (1/3 hours)
Average speed = 18 miles * 3 hours
Average speed = 54 miles/hour
So, your average speed for the rest of your journey to the party is 54 miles per hour.