Each year Wenford Hospital records how long patients wait to be treated in the Accident and Emergency department.

In 2015 patients waited 11% less time than in 2014.
In 2015 the average time patients waited was 68 minutes.

The hospital has a target to reduce the average time patients wait to be treated in the Accident and Emergency department to 60 minutes in 2016.

Work out the percentage decrease from 68 minutes to 60 minutes.

To find the percentage decrease from 68 minutes to 60 minutes, we can use the formula for percentage decrease:

\[
\text{Percentage Decrease} = \left(\frac{\text{Original Value} - \text{New Value}}{\text{Original Value}}\right) \times 100
\]

Here, the original value is 68 minutes, and the new value is 60 minutes. Let's calculate:

\[
\text{Percentage Decrease} = \left(\frac{68 - 60}{68}\right) \times 100
\]

\[
\text{Percentage Decrease} = \left(\frac{8}{68}\right) \times 100
\]

\[
\text{Percentage Decrease} = 0.1176 \times 100
\]

\[
\text{Percentage Decrease} = 11.76\%
\]

So, the percentage decrease from 68 minutes to 60 minutes is **11.76%**.

Would you like more details or have any questions? 

Here are some related questions for further exploration:

1. If the hospital had an average wait time of 80 minutes in 2013, what was the percentage decrease to 68 minutes in 2015?
2. What is the percentage decrease if the hospital reduces the wait time from 60 minutes to 50 minutes in 2017?
3. If the percentage decrease from 2015 to 2016 was 15%, what would be the average wait time in 2016?
4. How long did patients wait in 2014 if the wait time decreased by 11% in 2015 to 68 minutes?
5. If the hospital wants to decrease the wait time by 20% from 68 minutes, what would be the new target wait time?

**Tip:** When dealing with percentage changes, always express the change relative to the original value to ensure accurate calculations.

Learn how to calculate the percentage decrease from 68 minutes to 60 minutes using the percentage decrease formula. Understand the arithmetic operations involved in finding the decrease percentage. Suitable for students in Grades 7-9.

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