Question

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?

Answer 1

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