A cycle race across America is 3609.25 miles in length - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 1

To estimate how many days Juan will take to complete the race, first calculate the total hours required to complete the race using his initial speed.

1. First, calculate the total time in hours:

   $ext{Total Time (hours)} = \frac{\text{Total Distance}}{\text{Speed}} = \frac{3609.25 \text{ miles}}{15.12 \text{ miles/hour}}$

   Performing the calculation gives:

   $\text{Total Time (hours)} \approx 238.35 \text{ hours}$

2. Next, calculate the number of days by determining how many hours Juan cycles per day:

   $\text{Days} = \frac{\text{Total Time}}{\text{Hours per Day}} = \frac{238.35 \text{ hours}}{8 \text{ hours/day}}$

   This results in:

   $\text{Days} \approx 29.79$

   Rounding up, Juan will take approximately 30 days to complete the race.