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Mice21 [21]
3 years ago
15

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

against the current, in 0.56 hours. Assuming his rowing speed and the speed of the current are constant, what is the speed of the current?
A) 3 miles per hour
B) 8 miles per hour
C) 11 miles per hour
D) 14 miles per hour
Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer:

3 mph

Step-by-step explanation:

Molodets [167]3 years ago
3 0
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

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