Mario rides his motorcycle in going to school. He drives at an average speed of 30 kilometers per hour. The distance between his house and the school is 15 kilometers. Every time he sees his best friend Jessica walking on the road, he invites her for a ride and lowers his speed. On the other hand, he increases his speed when he wakes up late for school. a) Suppose Mario's speed is unknown and represented by (x), he lowers his speed by 10 kilometers per hour at a distance of 15 kilometers and reaches school at - hours, how will you write the equation to find his average speed (x)? b) Mario's average speed was 30 kilometers per hour. He plans to drive for another 30 kilometers from school, how long will it take him to cover the whole distance (house to school to 30 kilometers from school)? c) If Mario drives another (x) kilometers from his school at an average speed of 30 kilometers per hour and he plans to drive in at most 2 hours, how will you write the inequality to find the additional distance?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Mario rides his motorcycle in going to school. He drives at an average speed of 30 kilometers per hour. The distance between his house and the school is 15 kilometers. Every time he sees his best friend Jessica walking on the road, he invites her for a ride and lowers his speed. On the other hand, he increases his speed when he wakes up late for school. a) Suppose Mario's speed is unknown and represented by (x), he lowers his speed by 10 kilometers per hour at a distance of 15 kilometers and reaches school at - hours, how will you write the equation to find his average speed (x)? b) Mario's average speed was 30 kilometers per hour. He plans to drive for another 30 kilometers from school, how long will it take him to cover the whole distance (house to school to 30 kilometers from school)? c) If Mario drives another (x) kilometers from his school at an average speed of 30 kilometers per hour and he plans to drive in at most 2 hours, how will you write the inequality to find the additional distance?
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