Neal ran a marathon (26 miles) up and over a steep mountain peak in northern Greece. The first part of the race was the uphill portion which was 16 miles long. He was able to double his speed for the remaining 10 miles downhill. The total run took 7 hours. What was Neal's pace, in minutes per mile, during the first 16 miles of the marathon?
Answer (1)
Answer:1. Calculate the time for the downhill portion: - Let 'x' be Neal's speed for the first 16 miles.- His speed for the downhill portion was 2x.- Time = Distance / Speed- Time for downhill: 10 miles / (2x) = 5/x hours 2. Calculate the total time in terms of 'x': - Time for uphill: 16 miles / x = 16/x hours- Total time: (16/x) + (5/x) = 21/x hours 3. Set up an equation and solve for 'x': - We know the total time was 7 hours.- 21/x = 7- 21 = 7x- x = 3 miles per hour 4. Calculate the pace for the uphill portion: - Pace = 60 minutes / speed- Pace for uphill: 60 minutes / 3 miles per hour = 20 minutes per mile Answer: Neal's pace during the first 16 miles of the marathon was 20 minutes per mile.
