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

15360
153600
30720
307200

Correct answer: 153600

Solution

In 8 minutes at 12 km/h, the cyclist covers $12 \times \frac{8}{60} = 1.6$ km, which is the perimeter of the park. So $2(l+b)=1600$ m and with $l:b=3:2$, we get $l=480$ m and $b=320$ m, giving area $480 \times 320 = 153600$ sq. m.

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