Question 86339
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r

Let r=her rate (speed) going into the country
Then r+5=her speed in returning

Distance going=Distance returning

Distance going=rate going times time
Distance going=r*5
Distance returning=rate returning times time
Distance returning=(r+5)*4
So--
5r=4(r+5) get rid of parens
5r=4r+20 subtract 4r from both sides
5r-4r=4r-4r+20 collect like terms

r=20 mi/h---------------------speed going into the country

r+5=20+5=25 mi/h----------------speed returning

CK

20*5=25*4

100=100


Hope this helps----ptaylor