The Russell family is driving 1,000 miles to the beach for their summer vacation. Mr. Russell drives at an average rate of 60 miles per hour and plans on stopping four times to break up the journey. Let t represent the number of hours the Russells will travel before they reach their destination and let d represent the remaining distance after each stop. Write an equation in terms of d and t that represents the 1,000-mile trip.
Does anyone have any idea how to set up the equation?
The equation that represents the 1,000-mile trip can be written as follows:
d = 1000 - (60t + 4d)
Explanation:
- The total distance of the trip is 1,000 miles.
- The distance covered by Mr. Russell is represented by 60t, where t represents the number of hours traveled.
- The remaining distance after each stop is represented by 4d, where d represents the remaining distance after each stop.
- Therefore, the remaining distance after each stop, 4d, is subtracted from the total distance to get the actual remaining distance, d.
To write an equation that represents the 1,000-mile trip, we need to consider the rate at which Mr. Russell is driving and the number of stops he plans on taking.
Let's start by breaking down the trip into different segments. We know that Mr. Russell will drive at a rate of 60 miles per hour. Therefore, the distance covered in terms of time can be represented as 60t.
However, we also need to account for the distance covered after each stop. Let's assume that after each stop, the remaining distance is represented by d. Since Mr. Russell plans on stopping four times, the total distance covered after the stops can be represented as 4d.
To express the total 1,000-mile trip in terms of t and d, we add the distance covered by driving and the distance covered after the stops. This gives us the equation:
60t + 4d = 1000
So, the equation that represents the 1,000-mile trip is 60t + 4d = 1000.