At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a

bicycle path. The bicyclist heading north is riding 2 km/hour faster than the bicyclist heading south. At

11:30, they are 50 km apart. Find the two bicyclists’ rates.

Guest Oct 12, 2020

#1**+1 **

Let x = slower cyclist then faster is x + 2

combined speed = 2x+2

in 2.5 hours they cover 50 km

rate * time = distance

(2x+2) (2.5) = 50 solve for x

5x + 5 = 50

5x = 45

x = 9 and the faster is 11 km/hr

ElectricPavlov Oct 12, 2020