SOLUTION: Bill walks from his home to the city in 4 hours. He can travel the same distance on his bicycle in 1 hour. If he rides at 6 km/h faster than he walks, what is his bicycling rate?

Question 5492: Bill walks from his home to the city in 4 hours. He can travel the same distance on his bicycle in 1 hour. If he rides at 6 km/h faster than he walks, what is his bicycling rate?
thanks for the help!
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
his walking rate is 1/4 the distance every hour
his riding rate is the whole distance every hour
Let x=riding rate
let = walking rate
riding rate is 6kmh faster, so

Multiply through by 4 to clear the denominator:

subtract x from both sides:

divide both sides by 3:

so he rides at 8 km per hour

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