Question 145016
let x miles be the distance travelled by a car 
rent by first company = (14+ 9x/100) in dollars  
rent by second company = (19 + 6x/100) in dollars
follow the condition 
14+9x/100=19+6x/100
9x/100-6x/100=19-14
(9x-6x)/100=5
3x=500
x=500/3
x=166.66 or x=167 miles approx.