Respuesta :
Answer:
9.09
Step-by-step explanation:
x=speed of boat
y=speed of water current
Downstream relative speed = x+y
Upstream relative speed = x-y
Distance remains the same for both upstream and downstream.
a) Distance travelled downstream = speed x time = 3(x+y)
Distance travelled upstream = speed x time = 3.6(x-y)
b) Since both distances are equal, we can write
3(x+y)= 3.6(x-y)
3x+3y = 3.6x-3.6y
6.6y = 0,6x
x=11y: y=x/11
c) Water current has speed as 1/11 times of that of boat
In percent this equals 100/11 = 9.09%
Answer with step-by-step explanation:
a) Assuming x to be the speed of the boat and y to be the speed of the water, we can write an expression for:
- the distance traveled downstream: 3(x+y)
- the distance traveled upstream: 3.6(x-y)
b) setting expressions in part a equal to each other:
3(x+y) = 3.6(x-y)
3x +3y = 3.6x - 3.6y
3y + 3.6y = 3.6x - 3x
6.6y = 0.6x
y = 0.6/6.6x
y = 1/11x
c) 1/11 * 100 = 9.1%