SATHEE: Quantitative Aptitude Ques 631

Quantitative Aptitude Ques 631

Question: A boat travels upstream from Q to P and downstream from P to Q in 3 h. If the distance between P to Q is 4 km and the speed of the current is 1 km/h, then what is the speed of the boat in still water?

Options:

A) 4.5 km/h

B) 5.2 km/h

C) 2.5 km/h

D) 3 km/h

Show Answer

Answer:

Correct Answer: D

Solution:

Let the speed of the boat in still water be $ xkm/h. $

$ \therefore $ The speed of the boat along the current $ =(x+1)km/h $ and the speed of the boat against the current $ =(x-1)km/h $

$ \therefore $ $ \frac{4}{x+1}+\frac{4}{x-1}=3 $

$ \Rightarrow $ $ \frac{4,(x+1+x-1)}{(x+1)(x-1)}=3 $

$ \Rightarrow $ $ 8x=3x^{2}-3 $

$ \Rightarrow $ $ 3x^{2}-8x-3=0 $

$ \Rightarrow $ $ 3x^{2}-9x+x-3=0 $

$ \Rightarrow $ $ (x-3)(3x+1)=0 $

$ \therefore $ $ x=3, $ $ -\frac{1}{3} $ Hence, speed of boat in still water is $ 3km/h. $

Quantitative Aptitude Ques 630

Quantitative Aptitude Ques 632

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