Question

the distance between two stations is 300 km to motorcycle start from the stations and move towards each and other the speed of one of them is 7 km faster than that of the other . if the distance between them after 2 hours of their start is 34 km find the speed of each motor cyclist

Answer 1

let the speed of a bike be x
so, speed of another bike will be x+7
now, the relative velocity is x+(x+7)=2x+7
as after 2hr the distance between them is 34..
so, distance travelled by them will be 300-34=266
now, distance/time=velocity
so,266/2=2x+7
=>133=2x-7
=>126=2x
=>x=63 km/hr
therefore, the speed of the bikes are 63km/hr and 70km/hr....