Answer:
A⇒35 km/hr
B⇒25 km/hr
Step-by-step explanation:
Let us call them cyclist A and B.
The rate of cyclist A will be x km/h
The rate of cyclist B will be (x-10) km/h
The total distance traveled= 120 km
Time taken =2 hours
Relative speed, since they are travelling in different directions, is arrived at by addition of their individual speeds = {x+ (x-10)}km/hr (2x-10)km/hr
Distance =speed × time
120km = (2x-10)km/hr×2
120=4x-20
4x=140
x= 35 km/hr⇒ speed for cyclist A
B⇒ (x-10) km/hr=35-10=25 km/hr