Question

Pedro can drive 3 times as fast as Rico can ride his bicycleIf it takes Rico 2 hours longer than Pedro to travel 45 miles, how fast can Rico ride his bicycle ?

Answer 1

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.

Step-by-step explanation

`\begin{gathered} rico\text{ speed =x} \\ Rico^(\prime)s\text{ }time=(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 =}(45)/(3x) \end{gathered}`

If it takes Rico 2 hours longer than Pedro to travel 45 miles,

`\begin{gathered} Rico^(\prime)stime-Pedro^(\prime)stime=2hours \\ (45)/(x)-(45)/(3x)=2 \\ \mathrm{Multiply\:both\:sides\:by\:}x \\ (45)/(x)x-(15)/(x)x=2x \\ 45-15=2x| \\ 30=2x \\ x=(30)/(2) \\ x=15mph \end{gathered}`

Answer: 15mph