Given parameters:
Speed of Cyclist 1 = 7mph
Speed of Cyclist 2 = 11mph
Time of travel = 30min = 0.5hr(60min = 1hr)
Unknown:
Distance separating them = ?
To solve this problem, we must understand that speed is the distance per unit time traveled.
Mathematically;
Speed = [tex]\frac{Distance}{Time}[/tex]
Now we are to find the distance separating the two cyclists;
Distance = speed x time
To find the distance separating the two cyclists, find the sum of their individual distances covered.
Distance separating them = Distance covered by cyclist 1 + Distance covered by cyclist 2
Now input the parameters;
Distance of separation = (7 x 0.5) + (11 x 0.5) = 3.5 + 5.5 = 9miles
The distance separating them is 9miles