SOLUTION: gladys can paddle her banca 24 km downstream in three hours less time than she can paddle the same distance upstream.if the current is 2 km per hour,hoe fast can gladys paddle her

Question 481427: gladys can paddle her banca 24 km downstream in three hours less time than she can paddle the same distance upstream.if the current is 2 km per hour,hoe fast can gladys paddle her banca in the still water?
Answer by mathstutor494(120) (Show Source): You can put this solution on YOUR website!
Let still water paddle speed : x km
Since stream current is 2 km per hour, therefore
upstream speed = x-2 and downstream speed = x+2
Time taken : distance/speed
Upstream : 24/(x-2)
Downstream : 24/(x+2)
The problem states that it takes three hours less time to paddle same distance downstream than same distance upstream.
Accordingly
24/(x-2) - 24/(x+2)=3
Solving above for x results in x=6
Ans : still water paddle speed : 6 km

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