Question 1035313
 Haileys father can paint a house 1.5 times faster then Hailey can.
 they work together On one house and it takes them 14 hours.
 how many hours will it take Hailey to paint a house working alone?
:
let t = time for Father to paint the house alone
then
1.5t = time for Hailey to do it
:
let the completed job = 1
{{{14/t}}} + {{{14/(1.5t)}}} = 1
multiply equation by 3t, cancel the denominators
3(14) + 2(14) = 3t
42 + 28 = 3t
70 = 3t
t = 3/70
t = 23{{{1/3}}} hrs for Father to paint the house
:
" how many hours will it take Hailey to paint a house working alone"
1.5 * 23{{{1/3}}} = 35 hrs for Hailey