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2 years ago

Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.

Mathematics

1 answer:

ololo11 [35]2 years ago

6 0

Answer:

boat: 6 mph
current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

2b = 12 mi/h

b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

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