Question

Wayne and Dennis like to ride the bike path from Riverside Park to the beach. Dennis’s speed is seven miles per hour faster than Wayne’s speed, so it takes Wayne 2 hours to ride to the beach while it takes Dennis 1.5 hours for the ride. Find the speed of both bikers.

Short answer

Velocity of Dennis and Wayne is$21miles/hr\&28miles/hrresp.$

Step-by-step solution

Step 1. Given information

Wayne and Dennis like to ride the bike path from Riverside Park to the beach.

Dennis’s speed is seven miles per hour faster than Wayne’s speed,

So it takes Wayne 2 hours to ride to the beach while it takes Dennis 1.5 hours for the ride.

Step 2. Calculating speed

Let the speed of Wayne be x

So speed of Dennis is x+7

Now since they cover equal path so

$$\begin{gathered} 2x=1.5(x+7) \\ 0.5x=10.5 \\ x=21 \end{gathered}$$

speed of Wayne =21 miles/hr

speed of Dennis =28 miles/hr