Question

Renting a bike requires a security deposit of $\$30.21$ and an additional cost $\$2.23$ per hour. If Robert has $\$42.13$, What is the maximum duration (in hrs) for which he can afford a rented bike?

• A. 5 hours
• B. 6 hours
• C. 5.30 hours
• D. 5.34 hours

Answer 1

The correct option is D 5.34 hours

Given,
Security deposit$=\$30.21$
Cost required per hour $=\$2.23$
Robert's budget $=\$42.13$

Let the time required be $t$ hours.

For Robert to afford the bike for t hours, Security payment + Cost required per hour $\times t\le$ Robert's budget
$30.21+2.23\times t\le 42.13$

Subtract 30.21 from both the sides
$30.21-30.21+2.23\times t\le 42.13-30.21$
$2.23t\le 11.92$

Shift 2.23 to the denominator of R.H.S
$t\le \frac{11.92}{2.23}$
$t\le 5.34$
A closed circle at $5.34$ and the red line goes to the left, indicating that $x$ is less than or equal to $\mathrm{5.34.}$
Hence, Robert can take bike for maximum 5.34 hours.
$\therefore$ option (d.) is the correct choice.