Answered

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A boat is seen to be traveling at a constant speed of 16 miles in 3 hours. At this rate about how far would the boat have traveled in 2 hours?

Sagot :

Answer:

The speed of a boat in still water is 30 mph.  It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream.  Find the speed of the current.

Solution.  The key to this type of problem is same time.  That will give the equation,

Time upstream = Time downstream

Now, speed, or velocity, is distance divided by time -- so many miles per hour:

v =d

t

Therefore,

t =d

v

The equation will be

 Time upstream=Time downstream Distance upstream

Speed upstream =Distance downstream

  Speed downstream         Let x be the speed of the current.  Then according to the problem:    _5_  

30 − x=   10   

30 + x         Therefore,5(30 + x)=10(30 − x) 150 + 5x=300 − 10x 5x + 10x=300 − 150 15x=150 x=10 mph

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