Answered

Sumali sa IDNStudy.com at simulang makuha ang maaasahang mga sagot. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

what is the answer a boat travel rate of 8 kph in water. If it can travel a given distance upstream in 5 hours and the same distance downstream 3 hours, what is the rate of the current

Sagot :

Jeremiaidn
Given:
             rate in still water = 8 kph ( I just assumed that it is what the question meant)
            time taken to travel a given distance upstream = 5 hours
            time taken to travel the same distance downstream = 3 hours

Hidden Clue:
                    The distances taken to travel downstream and upstream are the same.
Find:
          Rate of the current

Solution:
    What we need to find is the rate of the current. Let the rate of the current be x.
(Let us settle with the units later.)

When the boat travels upstream:
               Speed = Rate in still water - rate of current (It is like that because when traveling upstream, the speed of the boat is decreased because of the current)
                          = 8 - x
                Time = 5
               Disance = ST
                              = 5 ( 8-x )

When the boat travels downstream:
                
              Speed = Rate in still water + rate of current
                             8 + x
              Time   = 3
               Distance = ST
                              = 3 (8+x)

Since, their distances are the same, then it becomes like this:
       
                 5 (8-x) = 3 (8+x)
                 40 - 5x = 24 + 3x
                 40    = 24 + 3x + 5x
                  40     = 24 + 8x
                   40 - 24 = 8x
                     16      = 8x
                     [tex] \frac{16}{8} [/tex] = [tex] \frac{8x}{8} [/tex] 
                      2 = x

Check:
              5 ( 8 - 2) = 3 (8 + 2)
              5 ( 6)    =  3 ( 10 )
                 30    =    30, CORRECT

Final Answer: 
                      The rate of the current is 2 kph.


         


Salamat sa iyong presensya. Magpatuloy sa pagtatanong at pagbabahagi ng iyong nalalaman. Sama-sama tayong lumikha ng isang mas matibay na samahan. Sa IDNStudy.com, kami ay nangako na magbigay ng pinakamahusay na mga sagot. Salamat at sa muling pagkikita.