Question

Miller wants to rent a bike. Renting a bike requires a security deposit of $\$25$ and costs an additional $\$2.5$ per hour. If Miller has $\$65$ with him, then what is the maximum duration (in hours) for which he can rent a bike?

• A. 14 h
• B. 12 h
• C. 6 h
• D. 16 h

Answer 1

The correct option is D 16 h

Security deposit $=\$25$

Additional cost per hour $=\$2.5$

Miller's budget $=65$

Let the maximum duration for which Miller can rent a bike be $t$ h.

For $t$ h:
Security deposit + Cost per hour $\times$ $t$ $\le$ Miller's budget

$\Rightarrow 25+2.5\times t\le 65$

$\Rightarrow 2.5\times t\le 65-25$

$\Rightarrow 2.5\times t\le 40$

$\Rightarrow t\le \frac{40}{2.5}$

$\Rightarrow t\le 16h$

Hence, Miller can rent a bike for a maximum of 16 h.