Problema Solution

Two cyclists, 30 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?

Answer provided by our tutors

 

Let speed of one be x

The speed of the other will be 2x

The total distance traveled by both the sisters = 30 miles.

Distance travel by one sister = r * t = 2x

 

Distance traveled by other sister = 2*2x=4x

2x+4x=30

6x=30

X=5

Speed of one = 5mph

Speend od other = 2X = 2*5= 10mph