SOLUTION: Debbie has just enough money to rent a canoe or 1-1/2 hrs. How far out on a lake can she paddle and return on time if she paddles out at 2km/h and back at 4km/h?

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Question 406650: Debbie has just enough money to rent a canoe or 1-1/2 hrs. How far out on a lake can she paddle and return on time if she paddles out at 2km/h and back at 4km/h?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let d = distance that she travels out and also distance she travels back
d(out)=d(back)=d
t (out)=d/2
t(back)=d/4
Now we are told that t(out) + t(back) =1.5 hrs
soooo
d/2+d/4=1.5
2d/4+d/4=1.5
3d/4=1.5 multiply each side by 4
3d=6
d=2 mi
CK
t(out)=2/2=1 hr
t(back)=2/4=0.5 hr
1.5=1.5
Hope this helps-----ptaylor