Question

The Caverns of Sonora have two different tours: the Crystal Palace tour and the Horseshoe Lake tour. The total length of both tours is 3.25 miles. The Crystal Palace tour is a half-mile less than twice the distance of the Horseshoe Lake tour. Determine the length of each tour.

Answer 1

Th caverns have 2 different tours .

1. Crystal palace tour

2. Horsesshoe lake tour.

total length of the tour = 3.25 miles

let

Horsesshoe lake tour = x

Crystal palace tour = 2x - 1/2

Therefore,

$\begin{gathered} x+(2x-\frac{1}{2})=3.25 \\ x+2x-0.5=3.25 \\ 3x=3.75 \\ x=\frac{3.75}{3} \\ x=1.25 \end{gathered}$

Horsesshoe lake tour = 1.25 miles

Crystal palace tour = 2(1.25) - 0.5 = 2.5 - 0.5 = 2 miles