SOLUTION: A boat can travel from its dock to a town down river with a 7 mile per hour current in 10 hours. The return trip against the same current takes 15 hours. What is the speed of the b

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A boat can travel from its dock to a town down river with a 7 mile per hour current in 10 hours. The return trip against the same current takes 15 hours. What is the speed of the b      Log On


   



Question 40002: A boat can travel from its dock to a town down river with a 7 mile per hour current in 10 hours. The return trip against the same current takes 15 hours. What is the speed of the boat still in the water?
____ miles per hour
thanx

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A boat can travel from its dock to a town down river with a 7 mile per hour current in 10 hours. The return trip against the same current takes 15 hours. What is the speed of the boat still in the water?
____ miles per hour

Down River Data:
Distance = ?; Time=10 hrs.; Rate= boat speed + 7
------------------
Up River Data:
Distance = ?; Time=15 hrs; Rate = boat speed - 7
EQUATION:
distance down = distance up
and distance = rate(time)
10(boat speed +7) = 15(boat speed -7)
10boat +70 = 15boat-105
5boat=175
boat=35 mph
Cheers,
Stan H.