Solve.
-A cruise boat travels 48 miles downstream in 3 hours and returns to its starting point upstream in 12 hours. Find the speed of the stream.
A) $16 \mathrm { mph }$
B) $10 \mathrm { mph }$
C) $6 \mathrm { mph }$
D) $26 \mathrm { mph }$

Question

Quizplus · Accepted Answer

Let x be the speed of the boat in still water and y be the speed of the stream. Then we have:
x + y = 48/3 = 16 (speed downstream)
x - y = 48/12 = 4 (speed upstream)

Solving for x, we get x = 10 mph. Substituting this value back into either equation, we get y = 6 mph. Therefore, the speed of the stream is 6 mph, which corresponds to choice C.

Solve -A Cruise Boat Travels 48 Miles Downstream in 3 16mph16 \mathrm { mph }16mph

Solve
-A Cruise Boat Travels 48 Miles Downstream in 3 $16 \mathrm { mph }$