Latest TCS Aptitude Question SOLUTION: Raj drives slowly along the perumeter of a rectangular park at 24 kmph and completes one full round in 4 minutes .If the ratio of the Length to the breadth of the park is 3:2. wha

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Raj drives slowly along the perumeter of a rectangular park at 24 kmph and completes one full round in 4 minutes .If the ratio of the Length to the breadth of the park is 3:2. what are its dimensions

options are
480mx320m/ 15Om x lOOm / lOOmxlOOm 45Omx300m

Asked In TCS dhritiman (8 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

surya sanyal  (8 years ago)

total perimeter= 2(3x+2x)
=10x,
speed = 24*5/18= 20/3 m/sec
distance = (20/3)* (4*6),
=1600 m
10x=1600
x=160
length = 3x= 480m
breadth = 2x= 320m

Is this solution Helpfull? Yes (5) | No (1)  

Naresh P  (8 years ago)

total distance traveled in 4 min is: 24*4*60*(5/18) = 1600==> perimeter
Given length and breath are in the ratio 3 : 2
Rectangle perimeter = 2(l+b)
=>2(3x+2x)=1600
=>5x=800
=>x=160
Therefore Length 3x = 3*160=480
Breadth 2x = 2*160 = 320
So, 480m*320m

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anwesha majumder  (8 years ago)

24 kmph = 24×100060=400 m / min
In 4 minutes he covered 4 x 400 = 1600 m
This is equal to the perimeter 2 ( l + b) = 1600
But l : b = 3:2
Let l = 3k, b = 2k
Substituting, we get 2 ( 3k + 2k ) = 1600 => k = 180
So dimensions are 480 x 320

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palak Jain  (7 years ago)

the length of park=3x
the breadth of park=2x
total distance travelled by Raj=perimeter of rectangle =2(3x+2x)=10x
distance=speed*time
distance=24kmph*(4/60hr)
distance=8/5km
or 1600m
So, 1600m=10x
x=160
length=3x=3*160=480m
breadth=2x=2*160=320m

Ans 480m*320m

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Mal reddy  (8 years ago)

total perimeter is 2(l+b)=1600,
given that l/b=3/2
2l=3b
by solving above two equations
l=480m
b=320m

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Aditya Pandey  (5 years ago)

Ratio 3:2 so option c eliminated
Total distance=speed *time
=24*(4/60). *Converting to hrs
=8/5
Perimeter 2(x+y)=8/5
So perimeter should be 8/5 of 1km=1600
Which happens in option A

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Arshit Bagdi  (4 years ago)

total distance covered by raj d=s*t
d= 24*4/60=1.6 km
to convert it into meter we multiply it by 1000
so 1.6*1000 = 1600 meter
now the ratio of length and breadth are given, by the ratio we can obtain 1600*3/5=960 length
remaining breadth = 1600-960 = 640
960:640 = 480:320

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