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Let x be the speed of boat and y be the speed of the stream.
4(x + y) + 3(x - y) = 116
7x + y = 116 . . . . . (1)
3(x + y) + 4(x - y) = 108
7x - y = 108 . . . . . (2)
(1) + (2)
14x = 224
x = 16
y = 7(16) - 108
= 112 - 108
= 4
Therefore,
Speed of boat = 14km/hr
Speed of stream = 4km/hr
4(x + y) + 3(x - y) = 116
7x + y = 116 . . . . . (1)
3(x + y) + 4(x - y) = 108
7x - y = 108 . . . . . (2)
(1) + (2)
14x = 224
x = 16
y = 7(16) - 108
= 112 - 108
= 4
Therefore,
Speed of boat = 14km/hr
Speed of stream = 4km/hr
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