Question

The area of a square field is $24200m^2$. How long will a lady take to cross the field diagonally at the rate of $6.6km/hr$

• A. $2$ minutes $5$ seconds
• B. $2$ minutes
• C. $2.4$ minutes
• D. $2$ minutes $40$ seconds

Answer 1

The correct option is B $2$ minutes

Area of the square field $=24200$ sq m
$=>$ side of the square field $=\sqrt{24200}=10\sqrt{242}=10\times 11\sqrt{2}=110\sqrt{2}$ m
Diagonal of the square field $=\sqrt{2}\times side=\sqrt{2}\times 110\sqrt{2}=220$ m $=0.22km$
Time taken to cross the field diagonally $=\frac{Distance}{Speed}=\frac{0.22}{6.6}hr=\frac{1}{30}\times 60min=2min$