SOLUTION: Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip and t
Algebra.Com
Question 180172This question is from textbook Algebra 1
: Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip and the speed of the current.
This question is from textbook Algebra 1
Answer by ptaylor(2198) (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
Average speed of the boat for the entire trip =total distance divided by total time
Average speed =(48+48)/7=96/7=13.71 mph
Let r1=rate of the boat in still water
Let r2=rate of the current
Now we know that:
r1+r2= =48/3=16 mph----------------eq1
r1-r2=48/4=12 mph------------------eq2
add eq1 and eq2:
2r1=28 divide each side by 2
r1=14 mph------------------------------rate of the boat in still water
substitute r1=14 mph into eq1:
14+r2=16 subtract 14 from each side
r2=2 mph----------------------------------rate of the current
Hope this helps---ptaylor
RELATED QUESTIONS
Sailing with the current, a boat takes 3 hours to travel 60 miles. The return trip,... (answered by friesr)
Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip,... (answered by Alan3354)
It takes a boat 4 hours to travel 56 miles down a river, and 3 hours longer to make the... (answered by rmromero)
it takes a boat 9 hours to go a distance of 270 miles against the current and 3 hours to... (answered by stanbon)
paddling with a current a canoeist can travel 48 miles in 3 hours. against the current he (answered by mananth,Alan3354)
A motorboat takes 3 hours to travel to it's destination with a current of 5 mph. The... (answered by lwsshak3)
A boat can travel from its dock to a town downriver with a 7 mph current in 10 hours. The (answered by Grinnell)
A fishing boat can travel 320 miles in eight hours with the current. Against the current... (answered by CubeyThePenguin)
With the current a motorboat can travel 84 miles in two hours against the current the... (answered by josgarithmetic,ikleyn)