Wave speed and distance on a guitar string

[jl39845]

Homework Statement

The wave speed in a guitar string of length 62.9 cm is 278 m/s. you pluck the center of the string by pulling it up and letting go. Pulses move in both directions and are reflected off the ends of the string. If you plucked the string 25.1 cm from the left end of the string, how far from the other end of the string would the two pulses meet? In units of cm.

Homework Equations

I thought just some old-fashioned algebra could do it..

The Attempt at a Solution

What I first tried was 25.1 cm + x= Remainingcm-x, so:

25.1cm+x=(62.9-25.1)-x
25.1cm+x=37.8-x
2x=12.7
x=6.35 cm

However, this did not work.

Can anyone tell me what I'm doing wrong? Thanks.

 

[Stonebridge]

Waves meet at P a distance x from B

Just be careful setting up the equation.
Measure x from the right hand side as the question asks and you can't go wrong.