Aptitude - Area - Discussion

Discussion Forum : Area - General Questions (Q.No. 1)
1.
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:
15360
153600
30720
307200
Answer: Option
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.

Discussion:
48 comments Page 3 of 5.

Kritika said:   10 years ago
Perimeter of the park is actually the distance covered by the cyclist and hence we use the formula of distance, speed and time.

Fijo Francis said:   1 decade ago
Why we are not using 5/18 formula to convert into m/s?

Can any of you please explain me please ?

Phuntsho said:   1 decade ago
I did not understand on how perimeter has a relationship with time and its distance. Please can you tell and explain me in detail. So that I can able to transfer my knowledge to my students.

Bhagyashri said:   1 decade ago
1hr is converted in to minutes. i.e 1hr = 60min.

1km = 1000m.

12km = 12000m.

12km/hr = 12000/60.

Aniruddh said:   1 decade ago
@manjula: 12000 and 60 are, 12km/hour will be converted into metre...
1km=1000m hence 12km=120000m and hr is converted as sec.1hr is 60 sec

R.prabhakaran said:   1 decade ago
Why multiply 2(3x+2x)=1600 ?

Divya said:   1 decade ago
Perimeter formule 2(l+b), so we are using.

Sankar said:   1 decade ago
You said perimeter is 2 (l*b) but in above step perimeter we found as 1600m.

How is it possible two perimeter with different ans?

Ashok said:   1 decade ago
instead of using perimeter just take the total distance as 10x coz length 2 times of 3x and breadth 2 times of 2x
add both u will get 10x
and just find x usin s=d/t

Manjula said:   1 decade ago
From where does 12000 and 60 come.


Post your comments here:

Your comments will be displayed after verification.