Answer :

Let the speed of the boat in still water be x km/h and speed of the stream be y km/h


Speed of boat upstream = (x – y) km/h


Speed of boat downstream = (x + y) km/h


But, total time of journey is 10hrs.


= 10


= 13


Let be a and be b


30a + 44b = 10 …I


40a + 55b = 13 …II


Multiply Eq. I by 4 and Eq. II by 3


120a + 176b = 40


120a + 165b = 39


_- - - _


11b = 1


b =


substituting value of b in Eq. I


30a + 44× = 10


30a + 4 = 10


30a = 6


a =


5 = x + y 5 = x + y


11 = x - y 11 = x - y ….IV


x + y = 5


x – y = 11


2x = 16


x = 8


substitute value of x in Eq. III


8 + y = 5


Y = 3


Hence, Speed of boat = 8 km/h;


Speed of stream = 3 km/h


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