Question

A man walking at the rate $3km/hr$ crosses a square field diagonally in $1$ minute. What is the are of the field?

• A. $1000m^2$
• B. $1250m^2$
• C. $2500m^2$
• D. $5000m^2$

Answer 1

The correct option is B $1250m^2$

Speed $=\frac{distance}{time}\Rightarrow \frac{3\times 1000}{3600}=\frac{d}{60}\Rightarrow d=50m$

As 'd' is diagonal $\Rightarrow$ Area $=\frac{d^2}{2}=\frac{2500}{2}=1250m^2$