The youth winner ran the race in 25 minutes 13 seconds. The adult winner ran the same race in 23 minutes 39 seconds. Who ran faster? By how much?

To determine who ran faster and by how much, we need to convert the race times of both the youth and adult winners into seconds and then compare their speeds. ### Step 1: Convert the times into seconds 1. **Youth Winner's Time:** - 25 minutes 13 seconds - Convert to seconds: \[ \text{Total seconds} = 25 \times 60 + 13 \] 2. **Adult Winner's Time:** - 23 minutes 39 seconds - Convert to seconds: \[ \text{Total seconds} = 23 \times 60 + 39 \] ### Step 2: Calculate the total seconds for both Let's perform the calculations for both times. 1. For the youth winner: \[ \text{Youth seconds} = 25 \times 60 + 13 \] 2. For the adult winner: \[ \text{Adult seconds} = 23 \times 60 + 39 \] Now, I will calculate these values. Calculate the value by following steps: - step0: Calculate: \(25\times 60+13\) - step1: Multiply the numbers: \(1500+13\) - step2: Add the numbers: \(1513\) Calculate or simplify the expression \( 23 * 60 + 39 \). Calculate the value by following steps: - step0: Calculate: \(23\times 60+39\) - step1: Multiply the numbers: \(1380+39\) - step2: Add the numbers: \(1419\) ### Step 2: Total Seconds Calculation 1. **Youth Winner's Time:** - Total seconds = 1513 seconds 2. **Adult Winner's Time:** - Total seconds = 1419 seconds ### Step 3: Determine who ran faster To find out who ran faster, we compare the total seconds. The winner with the lower time ran faster. - Youth Winner: 1513 seconds - Adult Winner: 1419 seconds ### Step 4: Calculate the difference in time Now, let's calculate the difference in time between the two winners: \[ \text{Difference} = \text{Youth seconds} - \text{Adult seconds} = 1513 - 1419 \] Now, I will calculate the difference. Calculate the value by following steps: - step0: Calculate: \(1513-1419\) - step1: Subtract the numbers: \(94\) ### Step 4: Time Difference Calculation The difference in time between the youth and adult winners is: \[ \text{Difference} = 1513 - 1419 = 94 \text{ seconds} \] ### Conclusion - The **adult winner** ran faster than the youth winner. - The adult winner was faster by **94 seconds**.