A moving company charges 30 plus 0.15 per mile to rent a moving van another company charges 15 plus 20 $0.20 per mile to rent the same for how many miles will the cost be the same for the two company?

To find the number of miles at which the costs are the same, we can set up the equation for both companies. The first company charges ( C_1 = 30 + 0.15m ) and the second company charges ( C_2 = 15 + 0.20m ). Setting these equal gives us ( 30 + 0.15m = 15 + 0.20m ). Solving for ( m ) results in ( 15 = 0.05m ), leading to ( m = 300 ) miles. Thus, the costs will be the same at 300 miles.