SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 53 of 100

Marks: +1, -0

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is

153650 sq.metre
135600 sq.metre
153600 sq.metre
156300 sq.metre

Validate

Solution:

(3) Distance covered by man in 8 minutes

= ( {12× 1000 ×8}/{60} )

metre.
= 1600 metre = Perimeter of park
Length of park = 3x metre (let)
Width = 2x metre
∴ 2 (3x + 2x) = 1600

⇒ 5 x= {1600}/{2}=800

⇒ x= {800}/{5}=160

∴ Area of park

= 3x × 2x = 6x^2

=6 ×(160)^{2}

= 153600 sq. metre

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