Hank and Rashad are walking the Appalachian Trail from Maine southward through Maryland for a distance of 1164 miles. They have walked three times as many miles as they have remaining. How many miles are there remaining for them to walk?
0.25 * 1164 = ?
remaining = x
walked = 3 x
3 x + x = 1164
4 x = 1164
x = 291
To solve this problem, let's break it down step by step:
Step 1: Let's represent the distance Hank and Rashad have already walked with the variable "x".
Step 2: We're given that they have walked three times the distance they have remaining. So we can write the equation: x = 3 * (1164 - x)
Step 3: Let's solve the equation to find the value of "x" which represents the distance they have already walked.
x = 3 * (1164 - x)
x = 3492 - 3x
4x = 3492
x = 873
Step 4: Now that we know the distance they have already walked is x = 873 miles, we can calculate the remaining distance by subtracting it from the total distance:
Total distance = 1164 miles
Remaining distance = Total distance - Distance already walked
Remaining distance = 1164 - 873
Remaining distance = 291 miles
Therefore, there are 291 miles remaining for Hank and Rashad to walk.