document.write( "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.
\n" ); document.write( "How many hours will it take Hailey to paint a house working alone \n" ); document.write( "

Algebra.Com's Answer #649980 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Haileys father can paint a house 1.5 times faster then Hailey can.
\n" ); document.write( " they work together On one house and it takes them 14 hours.
\n" ); document.write( " how many hours will it take Hailey to paint a house working alone?
\n" ); document.write( ":
\n" ); document.write( "let t = time for Father to paint the house alone
\n" ); document.write( "then
\n" ); document.write( "1.5t = time for Hailey to do it
\n" ); document.write( ":
\n" ); document.write( "let the completed job = 1
\n" ); document.write( " $\"14%2Ft\"$ + $\"14%2F%281.5t%29\"$ = 1
\n" ); document.write( "multiply equation by 3t, cancel the denominators
\n" ); document.write( "3(14) + 2(14) = 3t
\n" ); document.write( "42 + 28 = 3t
\n" ); document.write( "70 = 3t
\n" ); document.write( "t = 3/70
\n" ); document.write( "t = 23 $\"1%2F3\"$ hrs for Father to paint the house
\n" ); document.write( ":
\n" ); document.write( "\" how many hours will it take Hailey to paint a house working alone\"
\n" ); document.write( "1.5 * 23 $\"1%2F3\"$ = 35 hrs for Hailey \n" ); document.write( "

\n" );