Abicyclist 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

45 minutes=45 minutes(1 hour/ 60 minutes)=0.75 hours

distance between point A and point B=12x=12km/h(0.75 h)=9 km

the distance between point A and point B would be 9 km.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.