tana rode a boat 1 km upstream in and hour. rowing at the same rate, she made the return trip downstream in 15 minutes. find the rate of the current

2 answers

1. tana's rate -- x km/h
   current rate -- y km/h
   
   1(x-y) = 1
   (1/4)(x + y) = 1 or x+y = 4
   add them
   2x = 5
   x = 5/2
   then y = 3/2
   
   rate of current is 1.5 km/h

   Answer ID
   539195

   Created
   April 29, 2011 7:26pm UTC

   Rating
   0

   URL
   https://questions.llc/answers/539195

2. let v be her rowing velocity in still water, r be the velocity of the water.
   
   1km=(v-r)*1hr
   1km=(v+r)*.25hr
   
   multipy the second equation by 4
   
   4km=(v+r)1
   
   now add the equations..
   5km=2v and you have v = 2.5km/hr
   so r must be 1.5km/hr (see equation 1)

   Answer ID
   539196

   Created
   April 29, 2011 7:26pm UTC

   Rating
   0

   URL
   https://questions.llc/answers/539196