SOLUTION: A boat travels upstream in two rivers A and B. the velocity of the current in river A is 3kph while that of B is 1kph.It takes two times longer to travel 18km in river A than it t
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Question 1081853: A boat travels upstream in two rivers A and B. the velocity of the current in river A is 3kph while that of B is 1kph.It takes two times longer to travel 18km in river A than it took to travel 10km in river B. Calculate the speed of the boat in still water.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the boat in still water in km/hr
Let = time in hrs to travel 10 km in river B
= time in hrs to travel 18 km in river A
---------------------------------------------
Equation for going upstream in river A:
(1)
Equation for going upstream in river B:
(2)
----------------------------
(2)
Plug this result into (1)
(1)
(1)
(1)
(1)
(1)
The speed of the boat in still water is 21 km/hr
-------------------
check:
(1)
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2) hrs
OK
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