The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

• ans is 120 sec or 2 mins
  
  length of a diagonal of a square of side a is (2a^2)^1/2
  putting the value
  area of square(a^2) is 24200 sq m.
  length of diagonal is (2*24200)^1/2=220 m
  lady's speed is 6.6 km/hr or 1.8333 m/sec
  time=220/1.8333 = 120 secs or 2 mins (ANS)
• 12 years agoHelpfull: Yes(40) No(3)
• area of sqr= (diagonal)^2 / 2.....:
  dagonal=(2*area)^ 1/2...;
  diagonal=(2*24200)^1/2= 220m,since we know dist and speed...time of travel can be calculated....time=220/(6.6*(1000/60*60)=220/(6.6*(5/18))=120secs
• 12 years agoHelpfull: Yes(8) No(2)
• area= a*a= 24200
  hence side a= square root of area = 155.1 m
  diagonal of square is a* sq root of 2 = 219.99m
  there for the time req is distance/speed= 219.99/6.6x10^3 = 0.033 hr.
• 12 years agoHelpfull: Yes(3) No(5)
• asqr2=24200
  a=220
  time=distance/speed=220/(6.6*5/18)=120sec
• 10 years agoHelpfull: Yes(1) No(0)
• time = 12 sec.
• 12 years agoHelpfull: Yes(0) No(8)
• 2 way we can calculate area of a square
  
  Area= (side)^2 =(a)^2 (side=a)
  or
  Area= 1/2(d)^2 diagonal=d
  
  given a^2 =24200
  24200=1/2(d)^2
  (d)^2 =48400
  d= 220 m
  
  here diagona value is the actual distance we need to travel
  
  T= D/S
  T= 220 m/ (6.6km/hr)
  
  note- x km/hr= x*5/18 m/sec
  6.6 km/hr =6.6*5/18 m/sec
  
  T= 220/(6.6*5/18) =120 sec= 120/60 minute= 2 minute(ans :))) )
• 9 years agoHelpfull: Yes(0) No(0)