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LADDER PROBLEM
A fireman stood on the middle rung of a ladder directing water into a burning building.
As the smoke lessened, he stepped up three rungs and continued his work from that
point. A sudden flare-up forced him to go down five rungs. Later he climbed up seven
rungs to the top of the ladder and entered the building. How many rungs does the
ladder have?

Respuesta :

The ladder has 10 rungs

Let x represent the number of rungs of the ladder

At the start of the question, the fireman is standing at the middle rung of the ladder. This would be represented with 0.5x

Based on the steps taken, the next equation can be formed

A plus sign signifies that the fireman climbed up and a negative sign signifies that the fireman went down the ladder

x = 0.5x + 3 - 5 + 7

Combine similar terms

x - 0.5x =  3 - 5 + 7

0.5x = 5

Divide both sides by 0.5

x = 10

A similar question was solved here: https://brainly.com/question/950483?referrer=searchResults

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