The speed of the faster cyclist will be 30 miles/hour.
<em><u>Explanation</u></em>
One cyclist is 3 times as fast as the other.
Lets assume that the speed of the slower cyclist is miles/hour.
So, the <u>speed of the faster cyclist</u> will be: miles/hour.
They start riding toward each other at the same time and meet 2 hours later.
We know that,
So, the <u>distance traveled by slower cyclist</u> in 2 hours miles and the <u>distance traveled by faster cyclist</u>
miles.
Given that, they were 80 miles apart at the starting. So, the equation will be.....
So, the speed of the faster cyclist will be: (3×10)= 30 miles/hour.