A bicyclist was going from point A to point B with a speed of 12 km/h. On the way back he increased his speed to 18 km/h and covered the distance in 15 minutes less. What is the distance between point A and point B?
velocity=distance / time ⇒ distance=velocity x time.
x=time spent to go from point A to point B. (x-15)=time spent to go from point A to point B.
Distance from point A to B=distance from point B to A
12x=distance from point A to B 18(x-15)= distance form point B to A we have the following equation: 12x=18(x-15) 12x=18x-270 18x-12x=270 6x=270 x=270/6 x=45