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