Boats and Streams - Quantitative Aptitude (MCQ) questions for Q. 706

Q.  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?
- Published on 06 Jul 15

a. (7 , 3) km/hr
b. (6 , 4) km/hr
c. (10 , 4) km/hr
d. None of these

ANSWER: (7 , 3) km/hr
 
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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