Question 152289
Okay, we'll equate the  2 plans nad let {{{X}}}= miles that Tom needs to drive for them to be equal:
{{{1stplan=2nd plan}}} ---------------------> working eqn
{{{55.96+(0.15/mile)(x)=67.96+(0.11/mile)(x)}}}
{{{(0.15/mile)(x)-(0.11/mile)(x)=67.96-55.96}}}
{{{(0.04/mile)(x)=12.00}}}  
{{{(cross(0.04)/mile)(x)/cross(0.04)=cross(12)300/cross(0.04)}}}
{{{x=300miles}}} -------------> FINAL ASNWER
In doubt? go back each plan:
PLAN 1:
{{{55.96+(0.15/mi)(300)}}} = $100.96
PLAN 2:
{{{67.96+(0.11/mi)(300)}}}= $100.96
Thank you,
Jojo