Multiple Choice Questions on The figure drawn below gives the velocity graphs of two vehicles A and B The straight line OKP repre........... for Civil Services Exam (CSAT) Preparation

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Multiple Choice Questions

The figure drawn below gives the velocity graphs of two vehicles A and B The straight line OKP repre...........

Math and Mental Ability Time & distance
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    The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD= 1/2 LD :

    What is the ratio between the distances covered by vehicles A and B in the time interval OL?

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    1 : 2

    Incorrect Answer

    2 : 3

    Incorrect Answer

    3 : 4

    Correct Answer

    1 : 1

    Incorrect Answer
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    Explanation:
    Concept used: Area of rectangle = Length x breadth
    Area of triangle = (1/2) x Base x Height
    Distance covered 's = Area of (V -1) graph
    Calculations:
    Displacement of vehicle A = Distance covered by A = Area of OPL
    =>(1/2) x OL x LP
    => (1/2) x OL x (LD + PD)
    =>(1/2) x OL x (LD + LD/2)
    =>(1/2) x OL x 3LD/2
    =>3/4 x OL x LD
    Displacement of vehicle B = Distance covered by B = Area of rectangle OLDC
    =>OL x LD
    The ratio between the distances covered by vehicles A and B in the time interval OL
    =>(Displacement of vehicle A)/Displacement of vehicle B
    =>((3/4) x OL x LD)/(OL x LD)
    =>3/4 :•
    The ratio between the distances covered by vehicles A and B In the time interval OL is 3 : 4 

    By: Munesh Kumari
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