Question

Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill Two years ago she has been at the hospital for twice as long How long has each been at r=the hospital

Answer 1

Answer:

Hoang has been at the hospital for 12 years while Bill has worked for 7 years.

Step-by-step explanation:

Let the years Hoang has worked as a nurse equal h and let the years Bill has worked as a nurse equal b.

Since Hoang has worked 5 years longer, h is five more than b:

h = b + 5

Now we move onto the situation 2 years ago. 2 years ago, Hoang had worked at the hospital two less than h or h-2 years while Bill has worked for b-2 which is two years less than b. We are also told that at the time, Hoang worked twice as longs, so

h - 2 = 2(b - 2)

This can be simplified:

h - 2 = 2b - 4

h = 2b - 2

We can use substitution. Since h = b + 5 and h = 2b - 2,

b + 5 = 2b - 2

b = 7

Therefore, since Hoang has worked five more years, h = 12. So, Hoang has been at the hospital for 12 years while Bill has worked for 7 years.