Question

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

Answer 1

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:

`=x+6`

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

`\begin{gathered} x+6-4=2(x-4) \\ \\ x+2=2x-8 \\ \\ x=10 \end{gathered}`

Bill worked for 10 years.

Hong worked 6 years longer than,

`\begin{gathered} =x+6 \\ \\ =10+6 \\ \\ =16 \end{gathered}`

Hong worked for 16 years.