Sam traveled 3/4 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?

Question

Sam traveled 3/4 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?

Answer 1

bus: 3/4

jog: 1/2 * 1/4 = 1/8
That leaves 1 - 3/4 - 1/8 = 1/8 to walk
so, 1/8 x = 800
x = 6400 ft

Answer 2

hi, i posted this question a few months ago and i found an easier way to solve

3/4 by bus, jogged 1/2 remaining = 4/4 - 3/4 = 1/4
1/4 * 1/2 = 1/8 distance walked
800 ft * 8 = 6400 ft

Answer 3

Thank you I needed that too

Answer 4

Let's break down the information given step-by-step:

Step 1: Sam traveled 3/4 of the journey by bus.
Step 2: There is 1/4 of the journey remaining after the bus journey.
Step 3: Sam jogged half (1/2) of the remaining distance.
Step 4: Therefore, Sam jogged 1/2 * 1/4 = 1/8 of the total distance.
Step 5: The distance Sam walked is the remaining distance after jogging 1/8 of the total distance.
Step 6: We are given that Sam walked 800 feet.
Step 7: So, the distance Sam walked is equal to 1/8 of the total distance, which is 800 feet.
Step 8: Therefore, the total distance is 800 feet / (1/8) = 800 feet * 8 = 6400 feet.

Therefore, the total distance Sam traveled is 6400 feet.

Answer 5

To find the total distance Sam traveled, we need to add up the distances traveled by bus, jog, and walk.

Step 1: Calculate the distance traveled by bus.
We are given that Sam traveled 3/4 of the journey by bus. Let's assume the total distance of the journey is 'x'.
Distance traveled by bus = (3/4) * x

Step 2: Calculate the remaining distance after the bus journey.
The remaining distance after the bus journey will be (1 - 3/4) of the total distance.
Remaining distance = x - (3/4) * x

Step 3: Calculate the distance jogged by Sam.
We are given that Sam jogged 1/2 of the remaining distance.
Distance jogged = (1/2) * (x - (3/4) * x)

Step 4: Calculate the distance walked by Sam.
We are given that Sam walked 800 feet.
Distance walked = 800 feet

Step 5: Calculate the total distance traveled by Sam.
Total distance = Distance by bus + Distance jogged + Distance walked
Total distance = (3/4) * x + (1/2) * (x - (3/4) * x) + 800

Now, we can solve this equation to find the total distance traveled by Sam.