raj drives slowly along the perimeter of a rectangular park at 24kmph and completes one full round in 4mins. The ratio of length is to breadth is 3:2. What are its dimensions?

• length=3x ; breadth=2x
  
  total distance = perimeter =2(3x+2x)
  distance=10x ; distance= speed * time = 24 * 4/60(since time is in minute)
  distance=10x=1.6;
  x=.16
  length=3x=.48;
  breadth=2x=.32
• 12 years agoHelpfull: Yes(46) No(2)
• The ratio of length is to breadth is 3:2
  So,
  Length is 3x and breadth is 2x
  
  Now, The perimeter of the rectangular park is;
  2( Length + Breadth)
  2 ( 3x+ 2x)
  2*5x
  =10x
  
  Raj drives slowly along the perimeter of a rectangular park that's mean he covered the total distance 10x.
  So, the total distance is = 10x
  
  Total time 4mins, so 4/60 hrs.
  Speed 24kmph
  
  We know that,
  Distance = Time * Speed
  Distance = 4/60 * 24
  Distance= 1.6
  
  Now, we can write;
  10x= 1.6
  x = 1.6/10
  x = 0.16
  
  Length is (3*0.16) = .48km or 480 m
  Breath (2*0.16) = .32km or 320 m
  
  Ans. Its dimensions are 480m * 320 m
• 9 years agoHelpfull: Yes(7) No(0)
• 480m*320m
  is the only option matches with the given ratio 3:2
• 11 years agoHelpfull: Yes(5) No(17)
• 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(4) No(0)
• 2(3x+2x)=24*40/60
  10x=16
  x=1.6
  l=4.8
  b=3.2
• 12 years agoHelpfull: Yes(2) No(14)
• since speed=distance/time
  therefore,24=d/4=>d=96
  given ratio is 3:2 and we know area of rectangle =l*b
  so,3x*2x=96
  x^2=16
  x=4
  diemension are:12km length and 8km breadth
• 9 years agoHelpfull: Yes(0) No(2)
• Ans: 480m * 320m
  24 kmph = 24×100060=40024×100060=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
• 7 years agoHelpfull: Yes(0) No(0)