Problema Solution

A boat travels 12km upstream and back in 1 hour 45 minutes. if the speed of the current is 3km/h throughout, find the speed of the boat in still water.

Answer provided by our tutors

Let s represent the speed of the boat in still water



D = r*t  OR t = D/r



Question states*** (note round trip took 1.75hr)



 12/(s+3) + 12/(s-3) = 1.75hr

Solving for x



 12(s-3) + 12(s+3) = 1.75(s+3)(s-3)



    24s = 7/4(s^2-9)



     7/4s^2 - 24s - 63/4 = 0



       7s^2 - 96s - 63 = 0



  |discarding the negative solution



 s = 14.342 kmph