SSC CGL 24 Aug 2021 Shift 2 Paper

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Question : 68 of 100

Marks: +1, -0

A man walking at a speed of

3 {km} \/ {h}

crosses a square field diagonally in

5 {min}

. What is the area of the field

(

in

{m}^{2}

)?

31250
3125
$312.5$
$3.125$

Solution:

Speed

=3 {km} \/ {h}

or

\;{3 × 1000}/{60}

=50 {m} \/ {min}

Time

=5 {min}

S \;\; =\;{D}/{T} ⇒ 50 × 5=\;\text " Distance "\;

Distance

=250 {m}

(diagonal)
We know that, side of square

=\;{\;\text " Diagonal "\;}/{√{2}}

a \;\; =\;{250}/{√{2}}

\;\text " Area of square "\; \;\; =a^{2}=\;{250}/{√{2}} × \;{250}/{√{2}}

\;\; =31250 {m}^{2}

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