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

• 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
• 9 years agoHelpfull: Yes(5) No(1)
• 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
  
• 9 years agoHelpfull: Yes(1) No(0)
• 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
  
• 9 years agoHelpfull: Yes(1) No(0)
• 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
• 8 years agoHelpfull: Yes(1) No(0)
• total perimeter is 2(l+b)=1600,
  given that l/b=3/2
  2l=3b
  by solving above two equations
  l=480m
  b=320m
  
• 9 years agoHelpfull: Yes(0) No(0)
• 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
• 6 years agoHelpfull: Yes(0) No(0)
• 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
• 5 years agoHelpfull: Yes(0) No(0)