Question 1126924
Let {{{ t }}} = number of [1 day + 1 night] intervals
The mouse's rate of descent is {{{ (1/3)/1 }}}
The cat's rate of ascent is {{{ (3/4)/1 }}}
I can add their rates since they are going toward each other
Subtract the rate of growth of the tree {{{ (1/8)/1 }}}
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{{{ (1/3)*t + (3/4)*t - (1/8)*t = 60 }}}
Multiply both sides by {{{ 48 }}}
{{{ 16t + 36t - 6t = 2880 }}}
{{{ 46t = 2880 }}}
{{{ t = 62.6087 }}}
I would say it takes 31 days and 32 nights
get another opinion definitely