Can you please tell me the answer to this problem: Hoang has worked as a nurse at Springfield General Hospital for 6 years longer than her friend Bill. Four years ago, she had been at the hospital for twice as long. How long has each been at the hospital

Respuesta :

Given:

She worked as a nurse for 6 years longer than her friend bill.

Four years ago, she had been at twice as long.

Find-:

How long has each been at the hospital

Explanation-:

Let

x = Bill worked in a hospital

So Hong worked in a hospital is:

[tex]=x+6[/tex]

Four years ago, she had been at the hospital twice as long.

[tex]\begin{gathered} x+6-4=2(x-4) \\ \\ x+2=2x-8 \\ \\ x=10 \end{gathered}[/tex]

Bill worked for 10 years.

Hong worked 6 years longer than,

[tex]\begin{gathered} =x+6 \\ \\ =10+6 \\ \\ =16 \end{gathered}[/tex]

Hong worked for 16 years.