Question

A cab ride costs $\$3.25$ for the first half-mile and $\$0.70$ for each mile after the first half-mile. How far can someone travel for $\$12$?

• A. $9$ miles
• B. $13.5$ miles
• C. $14.5$ miles
• D. $26$ miles
• E. $27$ miles

Answer 1

The correct option is B $13.5$ miles

Let the number of half - miles that can be travelled be $m$
As per the given information, $3.25+0.70(m-1)=12$
$\Rightarrow 3.25+0.7m-0.7=12$
$\Rightarrow 2.55+0.7m=12$
$\Rightarrow 0.7m=9.45$
$\Rightarrow m=13.5$
Hence, total miles that can be travelled for 12 $is$ 13.5 $ miles.