rational expression word problem

Question

Ruth and Jerry go for a jog in Texas. Ruth jogs while Jerry roller-blades. Jerry roller blades 3 miles per hour faster than Ruth jogs. When Jerry has roller bladed 5.7 miles, Ruth has jogged 3.3 miles. Find Ruth's Jogging speed

Answer 1

j=r+3

d=st=speed times time= distance

5.7= jt= (r+3)t=rt +3t

3.3 =rt

3t= 2.5

t= 2.5/3

r= 3.3/t=3.3/2.5/3= 9.9/2.5

= 3.96 mph =about 4 mph

j= 6.96 mph = about 7 mph

t= 2.5/3= .8333... hour= 50 minutes

7(2.5/3)= 17.5/3 =about 5.8 miles

4(2.5/3)= 10/3= about 3.3 miles

ruth's speed was 3.96 miles per hour