Question

The taxi fare in Gotham City is $\$2.40$ for the first $\dfrac{1}{2}$ mile and additional mileage charged at the rate $\$0.20$ for each additional $0.1$ mile. You plan to give the driver a $\$2$ tip. How many miles can you ride for $\$10$ ?

$3.0$

$3.25$

$3.3$

$3.5$

$3.75$

Solution:

There is a guaranteed $\$2$ tip, so we can subtract that from the total, leaving $\$8.$ This is greater than $\$2.40,$ so we can subtract that and add $\dfrac{1}{2}$ miles to the total distance.

We now have $\$5.60$ to use for additional miles. $\$0.20$ per $0.1$ mile is the same as $\$2$ for $1$ mile. That means one can ride for $5.60 / 2 = 2.8$ more miles with this much money. This leaves a total of $2.8 + \dfrac{1}{2} = 3.3$ miles.

Thus, C is the correct answer.

2011 AMC 8 Problem 10

Solution:

Problem 10 in Other Years