Given that Pedro can drive 3 times as fast as Rico can ride his bicycle and it takes Rico 2 hours longer than Pedro to travel 45 miles. We can find how fast Rico ride his bicycle below.
Explanation
[tex]\begin{gathered} rico\text{ speed =x} \\ Rico^{\prime}s\text{ }time=\frac{45}{x} \\ Since,\text{ }Pedro\text{ }can\text{ }drive\text{ }4times\text{ }as\text{ }fast\text{ }as\text{ }Rico\text{ }can\text{ }ride \\ Pedro^{\prime}s\text{ }speed=3x \\ Pedro^{\prime}s\text{ time =}\frac{45}{3x} \end{gathered}[/tex]If it takes Rico 2 hours longer than Pedro to travel 45 miles,
[tex]\begin{gathered} Rico^{\prime}stime-Pedro^{\prime}stime=2hours \\ \frac{45}{x}-\frac{45}{3x}=2 \\ \mathrm{Multiply\:both\:sides\:by\:}x \\ \frac{45}{x}x-\frac{15}{x}x=2x \\ 45-15=2x| \\ 30=2x \\ x=\frac{30}{2} \\ x=15mph \end{gathered}[/tex]Answer: 15mph
