Problema Solution

Rico can drive 3 times as fast as pablo can ride his bicycle. if it takes pablo 3 hours longer than rico to travel 72 miles, how fast can pabloi ride his bicycle?

Answer provided by our tutors

let


r = the rate of Rico

p = the rate of Pablo


Rico can drive 3 times as fast as Pablo can ride his bicycle


r = 3p


it takes Pablo 3 hours longer than Rico to travel 72 miles


72/p = 3 + 72/r


plug r = 3p into the last equation


72/p = 3 + 72/(3p)


by solving we find


p = 16 mph


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Pablo rides his bicycle with a rate of 16 miles per hour.