Question 596408
Add their rates of mowing to get their
rate working together
Rate of push mower: ( 1 area ) / ( 6 hrs )
Rate of riding mower: ( 1 area ) / ( 5 hrs )
Let {{{ t }}} = time in hrs to mow 1 area working together
Rate working together: ( 1 area ) / ( t hrs )
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{{{ 1/6 + 1/5 = 1/t }}}
Multiply both sides by {{{ 6*5*t }}}
{{{ 5t + 6t = 5*6 }}}
{{{ 11t = 30 }}}
{{{ t = 2.73 }}}
It will take 2.73 hrs
This is about 2 hrs and 44 min ( .73*60 = 44 )