Latest IBM Aptitude Question SOLUTION: 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?

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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?

Asked In IBM priyanka (11 years ago)

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vikas rathore  (11 years ago)

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)

Is this solution Helpfull? Yes (40) | No (3)  

Sachu  (11 years ago)

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

Is this solution Helpfull? Yes (8) | No (2)  

shyamala  (11 years ago)

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.

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richa jain  (10 years ago)

asqr2=24200
a=220
time=distance/speed=220/(6.6*5/18)=120sec

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SUNIL MAURYA  (11 years ago)

time = 12 sec.

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Archita Patnaik  (9 years ago)

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 :))) )

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