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Question
If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?
Options:
A .  (7 , 3) km/hr
B .  (6 , 4) km/hr
C .  (10 , 4) km/hr
D .  None of these
Answer: Option A
IF X: SPEED OF BOATS MAN IN STILL WATER
Y: SPEED OF THE RIVER
DOWNSTREAM SPEED (DS) = X + Y
UPSTREAM SPEED (US) = X – Y
X = (DS + US) / 2
Y = (DS – US) / 2
IN THE ABOVE PROBLEM DS = 10 ; US = 4
X = (10 + 4) / 2 = 14/2 = 7 KM/HR
Y = (10 – 4)/2 = 6/2 = 3 KM/HR

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