Question 965906
{{{ v = ( 50t ) / ( t + 5 ) }}}
I could not even find an example of
this in an algebra book, so I tried this:
{{{ 1/v = ( t + 5 ) / ( 50t ) }}}
{{{ 1/v = t/(50t) + 5/(50t) }}}
{{{ 1/v = 1/50 + 1/(10t) }}}
{{{ 1/(10t) = 1/v - 1/50 }}}
{{{ 10t = 1 / (( 1/v - 1/50 )) }}}
{{{ t = 1 / ( 10/v - 1/5 ) }}}
Multiply top and bottom by {{{ 5v }}}
{{{ t = 5v / ( 50 - v ) }}}
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If you multiply top and bottom by {{{ -1 }}}
{{{ t = -5v / ( v - 50 ) }}}
whew!