A cyclist goes on a 40 km round trip. The cyclists speed going north is #4# kmph more than coming back south. What is the cyclist's speed heading north and south?

1 Answer
Apr 13, 2017

Answer:

The bicyclist heading north is moving at #18# km/h and the bicyclist heading south is moving at #14# km/h.

Explanation:

An hour and a quarter has passed and they are #40# kms apart. By the formula #s= d/t -> d = s(t)#, letting #x# be the speed of the south-bound cyclist, we have:

#5/4(x + 4) + 5/4(x) = 40#

#5/4x + 5 + 5/4x = 40#

#5/2x = 35#

#x = (35)/(5/2)#

#x = 14#

This means that the cyclist heading south travels at #14# km/h, and so the cyclist heading north was traveling at #18# km/h.

Hopefully this helps!