On Tuesday, Bobby Hill averaged 45 mph on his way to school, and he arrived 1 minute before the first bell.
On Wednesday, he left home at the exact same time as Tuesday, but he averaged 40 mph and arrived 1 minute after the first bell.
Determine how far Bobby lives from school, and explain how you know.
Hint: Pay attention to the fact that his speed is measured in miles per HOUR but his time difference is in MINUTES.
Hint: Use the formula d = rt to help you solve.
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Step-by-step explanation:
Let the distance of house from school be x miles
On Tuesday time taken = Distance/speed
= x/45 hr
On Wednesday time taken = x/40 hr
Difference between times taken on Wednesday and Tuesday = 1 min + 1 min
x/40 –x/45 = 2 min
(9x –8x)/360 = 2/60 hr.
x/360 = 2/60
60x = 2 × 360 = 720
x = 720/60 miles
= 12 miles
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