Solve.
-A boat moves 8 kilometers upstream in the same amount of time it moves 20 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the boat in still water.
A) $13 \frac { 1 } { 3 } \mathrm {~km} / \mathrm { hr }$
B) $5 \frac { 1 } { 3 } \mathrm {~km} / \mathrm { hr }$
C) $8 \mathrm {~km} / \mathrm { hr }$
D) $18 \frac { 2 } { 3 } \mathrm {~km} / \mathrm { hr }$

Question

Quizplus · Accepted Answer

The boat's speed in still water is calculated using the formula for time: $ t = \frac{d}{v} $. For upstream, $ v = b - 8 $ and for downstream, $ v = b + 8 $. Setting the times equal gives $ \frac{8}{b-8} = \frac{20}{b+8} $. Solving for $ b $ gives $ b = 18 \frac{2}{3} $ km/hr.

Solve -A Boat Moves 8 Kilometers Upstream in the Same 1313 km/hr13 \frac { 1 } { 3 } \mathrm {~km} / \mathrm { hr }1331​ km/hr

Solve
-A Boat Moves 8 Kilometers Upstream in the Same $13 \frac { 1 } { 3 } \mathrm {~km} / \mathrm { hr }$