A motor boat travels 180 miles in 5 hours going upstream. It travels 260 miles going down stream in the same amount of time. What is the rate of the boat in still water a and what is the rate of the current . Is there anyone out there that can help ?

Step-by-step explanation:

The average speed upstream is ...

  speed = distance/time

  upstream speed = (180 mi)/(5 h) = 36 mi/h

The average speed downstream is ...

  downstream speed = (260 mi)/(5 h) = 52 mi/h

__

The upstream speed is the difference between the speed of the boat (b) and that of the current (c):

  36 = b - c

Likewise, the downstream speed is the sum of those of boat and current:

  52 = b +c

Adding these equations gives ...

  88 = 2b

  44 = b

Then the speed of the current is ...

  c = b -36 = 44 -36 = 8

The boat's speed in still water is 44 mi/h; the current's speed is 8 mi/h.

h who knows

step-by-step explanation: