Question 882187
RT=D for rate, time, distance.


________________speed_________time_________distance_______EQUATION
motorcycle______r+15__________t-2__________60__________{{{(r+15)(t-2)=60}}}
bicycle__________r____________t____________60__________{{{rt=60}}}


This WILL take the form of a quadratic equation during the process of solving the system of the two equations.  You can and should solve for r AND t.


Use the simpler equation in two ways.  The quantity occurs as a result of multiplication in the motorcycle's equation and you use the bicycle equation again in eliminating one variable to find the other variable.


Can you use that, and solve the problem yourself?