word problems

Question

Kevin works 3 time as many hours in a week as janny does. If each week were to work 6 hours more per week, Kevin would be working twice as many hours as Janny does. How many hours does each work now?

Answer 1

Hi Rafaella, I think the question might be like this

 

....... If each one were to work 6 hrs more per week, ..... , right?

 

Ok lets try this one :

 

Assume, initially janny works 'x' hrs and kevin works '3x' hrs

 

According to the next condition, kevin has to work (3x + 6) hrs and janny has to work (x + 6) hrs.

 

And also,    3x + 6 = 2 (x + 6)

 

3x + 6 = 2x + 12

 

This makes ,  x = 6

 

That means janny works 6 hrs and kevin works 3(6) = 18 hrs , at present.