Rosanna walks 2 mph slower then Simone. In the time it takes Simone to walk 8 miles, Rosanna walks 5 miles.Find the speed of Rosanna.

Question

Round the answer to the nearest tenths place.

Answer 1

We assume that: Rosanba walk with speed x mph. Then Simone walk with speed (x+2) mph.

Moreover, assume that: Simone and Rosana have walk t (hours).Then we have:

 

Rosana have walk 5=x.t (miles)

Devide both sides by x we have

5/x=t 

 

Simone have walk 8 = (x+2).t (miles)

Devide both sides by (x+2) we have:

8/(x+2)=t

 

So we can figure out that: 5/x=8/(x+2)

5(x+2)=8x

5x+10=8x

Minus both sides by 5x, we have

10=3x

Then x=10/3 approximate: 2,3 mph!