SOLUTION: 3. When a boat traveled downstream from Town A to Town B, the trip took 3 h. When the same boat traveled upstream from Town B to Town A, the trip took 3.6 h. For each trip, the spe

Algebra ->  Linear-equations -> SOLUTION: 3. When a boat traveled downstream from Town A to Town B, the trip took 3 h. When the same boat traveled upstream from Town B to Town A, the trip took 3.6 h. For each trip, the spe      Log On


   

Question 1003479: 3. When a boat traveled downstream from Town A to Town B, the trip took 3 h. When the same boat traveled upstream from Town B to Town A, the trip took 3.6 h. For each trip, the speed of the boat and the water current were unchanged. Let x represent the speed of the boat and let y represent the speed of the water.
(a) Write an expression for the distance traveled downstream using 3 h for the time. Then write an expression for the distance traveled upstream using 3.6 h for the time.
(b) Set the expressions in Part (a) equal to each other. Then solve the equation for y. Show your work.
(c) What percent of the boat’s speed is the water current?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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When a boat traveled downstream from Town A to Town B, the trip took 3 h.
When the same boat traveled upstream from Town B to Town A, the trip took 3.6 h.
For each trip, the speed of the boat and the water current were unchanged.
Let x represent the speed of the boat and let y represent the speed of the water.
:
(a) Write an expression for the distance traveled downstream using 3 h for the time.
3(x+y)
Then write an expression for the distance traveled upstream using 3.6 h for the time.
3.6(x-y)
:
(b) Set the expressions in Part (a) equal to each other.
Then solve the equation for y. Show your work.
3(x + y) = 3.6(x - y)
3x + 3y = 3.6x - 3.6y
3y + 3.6y = 3.6x - 3x
6.6y = .6x
y = .6%2F6.6x
y = 1%2F11x
:
(c) What percent of the boat’s speed is the water current?
1%2F11 * 100 = 9.1%