Raj drives slowly along the perimeter 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?

• let the length be=3x,and breadth be=2x
  so the perimeter=2*(3x+2x)
  =10x
  we know that,24km/hr=24*5/18 m/s
  =20/3 m/s
  ram is needed 240 seconds to drive 10x m
  so he is needed 1 sec to drive 10x/240 m = x/24m
  so,
  x/24=20/3
  =) x=160
  so the length of the park=160*3=480m
  and the breadth of the park=160*2=320m
  
• 9 years agoHelpfull: Yes(17) No(2)
• Let the length be 3x and breadth be 2x
  p=2(l+b)
  p=2(3x+2x) = 10x
  Now using Distance = speed * time
  10x = 24000 * 4 / 60
  x= 160
  so length = 3x = 480m
  and breadth = 5x = 800m
  
  dimension = 480 x 800 m
• 9 years agoHelpfull: Yes(3) No(7)
• Let the length be=3x and breadth be=2x
  p=2(l+b)
  24=2(3x+2x)
  24/14=x
  x=12/7
• 9 years agoHelpfull: Yes(2) No(5)
• 480*320
  check ratio and ans
  
• 9 years agoHelpfull: Yes(2) No(1)
• Length=0.48
  Breadth=0.32
• 9 years agoHelpfull: Yes(1) No(0)
• speed= 24kmph(24*5/18)=20/3
  time =4 minutes (4*60)=2400 seconds
  calculate distance= speed*time i.e
  (20/3*2400)=1600m
  now let the dimensions be 2x and 3x
  perimeter=2(l+b)
  2(2x+3x)=1600
  10x=1600
  x=160
  so answer
  2x=320
  3x=480
  
• 9 years agoHelpfull: Yes(1) No(0)
• it is not 800 it is 320
  
• 9 years agoHelpfull: Yes(0) No(0)
• length = 14.4 breadth = 9.6
• 9 years agoHelpfull: Yes(0) No(0)