Solve the problem.
During a hurricane evacuation from the east coast of Georgia, a family traveled west. For part of the trip, they averaged but as the congestion got bad, they had to slow to If the total time of travel was 7 hours, how many miles did they drive at the reduced speed?
Answer
To solve this problem, we need to use the concept of average speed.
Let's assume the distance they traveled at the higher speed (before congestion) is represented by 'd1' and the distance they traveled at the reduced speed (during congestion) is represented by 'd2'.
We are given that the total time of travel was 7 hours.
Now, let's calculate the time it took to travel the distance 'd1' at the higher speed. The formula for time is distance divided by speed, i.e., time = d1 / higher speed.
Similarly, let's calculate the time it took to travel the distance 'd2' at the reduced speed. The formula for this is time = d2 / reduced speed.
We are also given that the total time of travel was 7 hours. So, the sum of the individual times should be equal to 7 hours, i.e., (d1 / higher speed) + (d2 / reduced speed) = 7.
Now, let's solve this equation for 'd2', as we want to find the distance traveled at the reduced speed.
d2 / reduced speed = 7 - (d1 / higher speed)
To isolate 'd2', we can multiply both sides of the equation by the reduced speed:
d2 = (7 - (d1 / higher speed)) * reduced speed
So, the equation to find the distance traveled at the reduced speed is:
d2 = (7 - (d1 / higher speed)) * reduced speed
Now, we need to know the values of 'd1', higher speed, and reduced speed in order to find 'd2'. However, the problem doesn't provide us with those values. Please provide the missing information, and I will be happy to help you solve the problem.