SOLUTION: Kayaker takes 3 hours to cover distance of 30 miles downstream. It takes 5 hours to cover the same distance upstream. Assume his average speed of the kayaker and current were cons

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Question 1031559: Kayaker takes 3 hours to cover distance of 30 miles downstream. It takes 5 hours to cover the same distance upstream. Assume his average speed of the kayaker and current were constant. Fain the speed of the kayaker in still water and speed of current.
A) Speed kyaker-3MPH; Speed of current 2MPH
B) Speed kayaker- 8MPH; Speed of Current 3MPH
C)Speed of kayaker-3MPH; Speed of current 3MPH
D)Speed of kayaker8 MPH; Speed of current 2MPH
Found 2 solutions by dkppathak, ikleyn:
Answer by dkppathak(439) About Me  (Show Source):
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Kayaker takes 3 hours to cover distance of 30 miles downstream. It takes 5 hours to cover the same distance upstream. Assume his average speed of the kayaker and current were constant. Find the speed of the kayaker in still water and speed of current.
distance =30
let the speed of kayaker is x miles/hrs
water current speed is y miles /hrs
downstream speed will be x+y miles/hrs
upstream speed =x-y miles/hrs
speed=distance/time or speed x time =distance
30=3(x+y) or x+y=10
30=5(x-y) or x-y=6 by solving equations we can say

x= 8mils/hrs y= 4 miles/hrs

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
Kayaker takes 3 hours to cover distance of 30 miles downstream. It takes 5 hours to cover the same distance upstream. Assume his average speed of the kayaker and current were constant. Fain the speed of the kayaker in still water and speed of current.
A) Speed kyaker-3MPH; Speed of current 2MPH
B) Speed kayaker- 8MPH; Speed of Current 3MPH
C)Speed of kayaker-3MPH; Speed of current 3MPH
D)Speed of kayaker8 MPH; Speed of current 2MPH
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x + y = 30%2F3 = 10,   (1)
x - y = 30%2F5 =  6.   (2)

Add (1) and (2). You will get

2x = 16  --->   x = 16%2F2 = 8 mph.

Then from (1)  y = 10 - 8 = 2 mph.

Answer. Kayaker - 8 mph;  current - 2 mph.    Option D).