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A cycle race across America is 3609.25 miles in length - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 1
Question 4
A cycle race across America is 3609.25 miles in length. Juan knows his average speed for his previous races is 15.12 miles per hour. For the next race across Ameri... show full transcript
Worked Solution & Example Answer:A cycle race across America is 3609.25 miles in length - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 1
Step 1
(b) How does this affect your answer to part (a)?
Answer
Increasing his average speed to 16.27 miles per hour means that Juan will complete the race in less time. To find the new estimated duration:
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Calculate New Total Hours Needed:
ext{New Total Hours} = rac{3609.25 ext{ miles}}{16.27 ext{ miles per hour}} \ ext{New Total Hours} ext{ (approximately)} = 221.33 ext{ hours} -
Convert New Hours to Days:
ext{New Total Days} = rac{221.33 ext{ hours}}{8 ext{ hours per day}} \ ext{New Total Days} ext{ (approximately)} = 27.67 ext{ days}
Thus, with the increased speed, Juan can complete the race in approximately 28 days instead of 30 days.