Question 1: Adrenaline Point wants to offer a premium Ferris wheel experience for a premium price. The owners are thinking of charging three times the normal fare for a longer ride. If load time for the ride equals 9 minutes and management wants to increase the current 13.5 minute ride time by $$ 100 \% $$, what will the ratio of ride time to load time be in simplest terms?

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UpStudy AI · Accepted Answer

To solve the problem, we need to follow these steps:

1. **Identify the known conditions:**
   - Current ride time = $$ 13.5 $$ minutes
   - Load time = $$ 9 $$ minutes
   - Management wants to increase the ride time by $$ 100\% $$.

2. **Calculate the new ride time:**
   - An increase of $$ 100\% $$ means the ride time will double.
   - New ride time = Current ride time + Increase in ride time
   - Increase in ride time = $$ 13.5 $$ minutes (since $$ 100\% $$ of $$ 13.5 $$ minutes is $$ 13.5 $$ minutes).

Therefore, the new ride time is:
   $$
   \text{New ride time} = 13.5 + 13.5 = 27 \text{ minutes}
   $$

3. **Calculate the ratio of ride time to load time:**
   - The ratio is given by:
   $$
   \text{Ratio} = \frac{\text{Ride time}}{\text{Load time}} = \frac{27}{9}
   $$

4. **Simplify the ratio:**
   - Dividing both the numerator and the denominator by $$ 9 $$:
   $$
   \frac{27}{9} = 3
   $$

Thus, the ratio of ride time to load time in simplest terms is $$ 3:1 $$.
The ratio of ride time to load time is 3:1.

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