Jo posted a sign at the start of a bike trail and one sign every 1/4 mi along the trail. The 20th sign was posted at the trails end. How long is the trail?

Answer :

Answer:

Length of the bike trail is 80 miles.

Step-by-step explanation:

Jo posted a sign at the start of  bike trail and every sign was at a distance of [tex]\frac{1}{4}[/tex] miles or 0.25 miles.

Let the number of signs he posted = n

Total length of the trail in the terms of n will be = 0.25n

He posted 20 signs and the 20th sign was at the end of the trail.

So the equation that represents the length of the trail will be,

0.25n = 20

[tex]\frac{0.25n}{0.25}=\frac{20}{0.25}[/tex]

n = 80 miles

Therefore, length of the bike trail is 80 miles.

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