Calculate Snail's Daily Distance: 3 Days, 40 Meters Back

Question

A snail travels across several set distances each day. On the first day, it crosses 3 such distances and on the second day it covers 5 such distances. On the third day, it goes backwards 40 meters and reaches its starting point.

What is the length of each set distance the snail crosses?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Define the distance the snail travels each time as a variable.
  • Step 2: Set up an algebraic equation reflecting the snail's total movement.
  • Step 3: Solve the equation for the unknown variable.

Now, let's work through each step:
Step 1: Let x x represent the length of each set distance.
Step 2: The total forward distance over the first two days is 3x+5x=8x 3x + 5x = 8x .
The backward movement on the third day is 40 meters.
Since the snail ends up at the starting point, the equation is 8x=40 8x = 40 .
Step 3: Solve for x x :
8x=40    x=408=5 8x = 40 \implies x = \frac{40}{8} = 5

Therefore, the solution to the problem is x=5 x = 5 meters.

Answer

5 meters