Question
Enter a number. 18. [-/5.65 Points] DETAILS MY NOTES AUFMODMATH2 6.4B.007. Solve. If necessary, round to the nearest tenth of a percent. A new bridge reduced the normal 40-minute travel time between two cities by 18 minutes. What percent decrease does this represent? \( \% \)
Ask by Newton Weaver. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The percent decrease is 45.0%.
Solution
1. The original travel time is \(40\) minutes.
2. The travel time was reduced by \(18\) minutes.
3. To find the percent decrease, divide the reduction in time by the original time and multiply by \(100\%\):
\[
\text{Percent decrease} = \frac{18}{40} \times 100\%
\]
4. Compute the fraction:
\[
\frac{18}{40} = 0.45
\]
5. Multiply by \(100\%\):
\[
0.45 \times 100\% = 45\%
\]
6. Rounding to the nearest tenth, the answer is \(45.0\%\).
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Simplify this solution The Deep Dive
To determine the percent decrease in travel time, first calculate the reduction in time. The normal travel time is 40 minutes, and the new bridge reduces this by 18 minutes, making the new travel time 22 minutes. Now, to find the percent decrease: 1. Subtract the new time from the original time: \( 40 - 22 = 18 \) minutes (the amount of reduction). 2. Divide the reduction by the original time: \( \frac{18}{40} = 0.45 \). 3. Convert that to a percentage by multiplying by 100: \( 0.45 \times 100 = 45\% \). So, the percent decrease in travel time is **45%**.
