General Aptitude › Area › Question #5301
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QA rectangular park's length to width ratio is 4:2. Find the area of the park in square metres if a cat running along the park's perimeter at 18 km/hr completes one round in 10 minutes.

ID: #5301 Area 292 views
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#5301Q ID
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AreaTopic
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  • A 50000 sq. m. ✔ ✖
  • B 55000 sq. m. ✔ ✖
  • C 45000 sq. m. ✔ ✖
  • D 30000 sq. m. ✔ ✖
Correct Answer

Explanation


One round of the park is equal to the perimeter of the park.

So, by completing one round, the cat covers a distance equal to the perimeter of the park.

Now, Distance or perimeter = speed * time
                                            = 18 * (10/60)
                                            = 3 km or 3000 meters

Let Length = 4x and breadth = 2x

So, Perimeter: 2 (4x + 2x) = 3000
8x + 4x = 3000
12x = 3000
x= 3000/12= 250 meters

So, Length = 4 * 250 = 1000 meters

And, Breadth = 2 * 250 = 500 meters

Area = Length * Breadth
      = 1000 * 500
      = 50000 sq. m.
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