Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10 kmh faster than the other. If the two cyclists are 162 kilometers apart after 3 hours, what is the rate of each cyclist?
let x=rate of slower cyclist x+9=rate of faster cyclist distance=travel time*rate .. 3x+3(x+9)=99 3x+3x+27=99 6x=72 x=12 x+9=21 rate of slower cyclist=12 km/h rate of faster cyclist=21 km/hr