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?

Algebra ->  Human-and-algebraic-language -> 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?      Log On


   



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) About Me  (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 x%2F4 = walking rate
riding rate is 6kmh faster, so
x=x%2F4%2B6
Multiply through by 4 to clear the denominator:
4x=x%2B24
subtract x from both sides:
3x=24
divide both sides by 3:
x=8
so he rides at 8 km per hour