Cut the rope into two pieces

Algebra Level 3

A rope 30 30 feet long is cut into two pieces where one is 24 24 inches longer than the other. Find the length of the shorter piece.

14 f e e t 14~feet 27 f e e t 27~feet 3 f e e t 3~feet 17 f e e t 17~feet

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Mahdi Raza
Apr 23, 2020

We know 24 24 inches = 2 = 2 feet. Let x x be the length of the shorter rope in feet. The longer piece will be x + 2 x + 2 feet

x + ( x + 2 ) = 30 ⟹ x = 14 x + (x+2) = 30 \implies x=\boxed{14}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

24 i n c h e s = 2 f e e t 24~inches=2~feet

Let x x be the shorter piece, then the longer piece is x + 2 x+2 , so we have

x + ( x + 2 ) = 30 x+(x+2)=30

2 x = 30 − 2 2x=30-2

2 x = 28 2x=28

x = 14 f e e t \boxed{x=14~feet}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...