Answer:
x= 7.5 mile/h
y= 3.5 miles / h
Step-by-step explanation:
Given x and y
so, x+y = speed down river
and x-y= speed up river
using
travel time = distance / speed for each case;
we get;
22/x+y=2 ---(1)
and
22/x-y=5.5 -----(2)
Solving equations simultaneously
eq 1 gives
2x+2y=22 ---(3)
eq 2 gives
5.5x-5.5y=22 ----(4)
Multiply eq 3 by 2.75
==> 5.5x+5.5y=60.5 --- (5)
adding eq 4 with eq 5
==> 11x =82.5
==> x= 7.5 miles/h
put this value in eq 3
==> 2(7.5)+2y=22
==> 2y=22-19.8
==> 2y=7
==> y = 3.5
Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
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A mile is 5280 feet so you do 5 times 5280 to get 26400.
