Banking Sample Paper SBI Junior Associates (Main) Sample Paper Test-2

  • question_answer
    A boat running downstream covers a distance of 20 km in 2 hours. While coming back the boat takes 4 hours to cover the same distance. If the speed of the current is one-third that of the boat, then what is the speed of the boat?

    A)  6.7kmph                    

    B)  7.5kmph

    C)  7.1kmph        

    D)       7.9kmph    

    E)  8.3kmph

    Correct Answer: B

    Solution :

    Let the speed of the boat be x kmph Then, speed of the current \[=\frac{x}{3}\] Now, Upstream speed :  Downstream speed             \[x-\frac{x}{3}\]                      :           \[x+\frac{x}{3}\]             \[\frac{2x}{3}\]                       :           \[\frac{4x}{3}\] According to the question, \[\frac{2x}{3}=\frac{20}{4}\] Or, \[\frac{2x}{3}=5\] \[\therefore x=\frac{15}{2}=7.5kmph\] \[\therefore \] Speed of the boat \[\text{= 7}\text{.5 kmph}\] Quicker Approach Upstream speed \[\text{=}\frac{20}{4}=5\text{ kmph}\] Downstream speed \[\text{=}\frac{\text{20}}{\text{2}}\text{=10 kmph}\] \[\therefore \] Speed of the boat\[=\frac{10+5}{2}=\frac{15}{2}\] \[\text{= 7}\text{.5 kmph}\]


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