Solve.
-A boat moves 8 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 9 kilometers per hour, find the rate of the boat in still water.
A) $15 \frac { 1 } { 9 }$ kilometers per h kilometers per hour
B)8 kilometers per hour
C)9 kilometers per hour
D)25 kilometers per hour

Question

Quizplus · Accepted Answer

The boat's speed in still water is calculated using the formula: speed = distance/time. Let the speed of the boat in still water be $ x $ km/h. The effective speed upstream is $ x - 9 $ km/h and downstream is $ x + 9 $ km/h. Since time is the same, $ \frac{8}{x-9} = \frac{17}{x+9} $. Solving this equation gives $ x = 25 $ km/h.

Solve -A Boat Moves 8 Kilometers Upstream in the Same 151915 \frac { 1 } { 9 }1591​

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-A Boat Moves 8 Kilometers Upstream in the Same $15 \frac { 1 } { 9 }$