Answered

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The speed of the​ river's current is 44 mph. If a boat travels 1717 miles downstream in the same time that it takes to travel 99 miles​ upstream, find the speed of the boat in still water.

Sagot :

sqdancefan

Answer:

  13 mph

Step-by-step explanation:

You want the speed of a boat that travels 17 miles downstream with a 4 mph current in the same time it travels 9 miles upstream against that current.

Time, Speed, Distance

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

  [tex]t=\dfrac{d}{s}[/tex]

For the time to be the same for both trips, we must have ...

  [tex]\dfrac{17}{b+4}=\dfrac{9}{b-4}\\\\17(b-4)=9(b+4)\\\\8b=(17+9)(4)=104\\\\b=104/8=13[/tex]

The speed of the boat is 13 miles per hour in still water.

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