They met 480 meters from the house.
<h3><u>Calculus</u></h3>
Given that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:
- 200 x 4 = 800 - 200 = 600
- 300 x 4 = 1200 - 800 - (800 - 300) = 100
- 325 x 4 = 1300 - 800 - (800 - 325) = -25
- 320 x 4 = 1280 - 800 - (800 - 320) = 480 - 480 = 0
Therefore, they met 480 meters from the house.
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4x2-36=0
+36 +36
4x2=36
Divide by 4
X2=9
Square root of x2 is x and the square root of 9 is 3
X=3