sam travelled 1/4 of a journey by bus. he jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 feet, what was the total distance he traveled?

let total distance be x

bus: x/4
jog : (1/2)(3x/4) = 3x/8
walk: 800

x/4 + 3x/8 + 800 = x
times 8
2x + 3x + 6400 = 8x
x = 6400

total distance = 6400 ft

how is 2x + 3x + 6400 = 8x

6400 , it will be 6400/3 = 2133.3 feet?

these

To find the total distance Sam traveled, we need to add up the distance he traveled by each mode of transport.

Let's break down the problem step by step:

1. Sam traveled 1/4 of the journey by bus. If we let "x" represent the total distance, then 1/4 of x is (1/4) * x = x/4.

2. After the bus journey, Sam has (1 - 1/4) = 3/4 of the original distance remaining.

3. Sam then jogged 1/2 of the remaining distance. Therefore, the distance he jogged is (1/2) * (3/4) * x = (3/8) * x.

4. Sam has (3/4 - 3/8) = 3/8 of the original distance remaining after jogging.

5. Finally, Sam walked the rest of the way, which is 800 feet. We can set up an equation to solve for the total distance:

(3/8) * x = 800

Multiplying both sides of the equation by 8/3 to isolate x gives:

x = (800 * 8) / 3

Simplifying further, x = 1600 feet.

Therefore, the total distance Sam traveled is 1600 feet.