Question:
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/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
[A].
15360 |
[B].
153600 |
[C].
30720 |
[D].
307200 |
Answer: Option B
Explanation:
| Perimeter = Distance covered in 8 min. = |
|
12000 |
x 8 |
m = 1600 m. |
| 60 |
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m2.
