Question 425164
This is a rate problem
Terry's rate of painting is ( 1 house)/(4 hrs)
Nissi's rate of painting is (1 house)/(6 hrs)
Let {{{t}}} = the time it takes them to paint the
house working together
Just add their rates to get their rate working together
{{{ 1/4 + 1/6 = 1/t}}}
Multiply both sides by {{{12t}}}
{{{ 3t + 2t = 12 }}}
{{{5t = 12 }}}
{{{ t = 2.4 }}}
Their rate working together is (1 house)/(2.4 hrs)
To convert {{{.4}}} hrs to minutes:
{{{.4}}} hrs x {{{60/1}}} min/hr = {{{24}}} min
It takes them 2 hours and 24 minutes working together