Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other?Explain.
Ok, is the equation this:
5.6+6.4(x+30)=26.2
If not, can you help me?
the product of two and a number is 14. what is the number
2 times 7 = 14
To determine which runner will finish ahead of the other, we need to calculate the time it takes for each runner to complete the marathon.
Let's start by calculating the time it takes for Runner A to finish the marathon. We know that Runner A runs at an average pace of 5.6 miles per hour. So the time it takes for Runner A to finish the marathon can be calculated using the formula:
Time = Distance / Speed
Distance = 26.2 miles (length of the marathon)
Speed = 5.6 miles per hour (Runner A's average pace)
Plugging in the values, we get:
Time for Runner A = 26.2 miles / 5.6 miles per hour
Calculating this, we find that Runner A will take approximately 4.68 hours to finish the marathon.
Now let's calculate the time it takes for Runner B to finish the marathon. Runner B runs at an average pace of 6.4 miles per hour.
Time for Runner B = 26.2 miles / 6.4 miles per hour
Calculating this, we find that Runner B will take approximately 4.09 hours to finish the marathon.
Therefore, Runner B will finish ahead of Runner A since Runner B's completion time is shorter.
The distance both ran is the same.
distanceA=5.6*time
distanceB=6.4*(time-.5)
Set these equal, then solve for time when they meet.
Go back to the distance equation and verify it is less than 26 miles. Who uses miles for marathons any more?