Question

A cab ride costs $\$$2 for the first mi, and $\$$1.5 per mi after the first one.

What is the maximum distance (in mi) that the cab can cover within a budget of $\$$8?

• A. 5

Answer 1

The correct option is A 5
Let the distance covered after first mi be x mi.
Charges for first mile = $\$$2
Charges per mi after 1 mi = $\$$1.5

Maximum charges
= $\$$8

So,
2 + 1.5x = 8
$⟹$ 1.5x = 8 - 2
$⟹$1.5x = 6
$⟹$x = $\frac{6}{1.5}$
$⟹$x = 4 mi

Maximum distance = 4 + 1 = 5 mi