SOLUTION: suppose you are at a river resort and rent a motor boat for 5 hours starting at 7 am. You are told that the boat will travel at 8 mph upstream and 12 mph downstream. you decide tha

Question 192044: suppose you are at a river resort and rent a motor boat for 5 hours starting at 7 am. You are told that the boat will travel at 8 mph upstream and 12 mph downstream. you decide that you want to go as far up the river as you can and still be back by noon. At what time should you turn back, and how far from the resort will you be at the time?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let time it takes to go up the river be u and time it takes to go down be w.
u+w=5
u=5-w
.
d=st d=distance, s=speed, t=time
st=st since the distances are equal.
8u=12w
8(5-w)=12w substitute 5-w for u.
40-8w=12w
20w=40
w=2 hrs
u=3 hrs
8*2=16 mi distance at which you should turn back.
7 AM + 3 hrs= 10 AM time you should turn back.
.
Ed
RELATED QUESTIONS
Suppose you are at a river resort and rent a motor boat for 5 hours starting at 7 A.M.... (answered by josmiceli)

You are at a river resort and rent a motor boat (for 5 hours) at 7am. You are told that... (answered by josmiceli,greenestamps)

Suppose you are at a river resort and rent a motorboat for 5 hours starting at 7am. You... (answered by ptaylor)

At a river resort, you rent a motor boat for a sight seeing trip. You travel upstream at... (answered by lwsshak3)

I need help setting up this problem so I can solve it. Can anyone please help? A... (answered by checkley75,rmromero)

Melissa wants to rent a boat and spend at most $59 . The boat costs $6 per hour, and... (answered by MathLover1)

Suppose you get on a steamboat at noon in New Orleans and steam up the Mississippi River... (answered by richwmiller)

The rate at which a river flows is one-third the speed of a boat in still water. If that... (answered by VFBundy,Theo,ikleyn)

please help me solve this problem: A motor boat travels at a speed of 24 inches per... (answered by Boreal,FrankM)