A man walking at 3 , km/h crosses a square fi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) First,convert the speed of the man from $km/h$ to $m/s$:Speed $= 3 	imes \frac{5}{18} = \frac{5}{6} \, m/s$.Next,calculate the distance covered i

Vedclass · Accepted Answer

$5000$

Vedclass · Answer

(B) First,convert the speed of the man from $km/h$ to $m/s$:Speed $= 3 	imes \frac{5}{18} = \frac{5}{6} \, m/s$.Next,calculate the distance covered in $2 \, minutes$ $(120 \, seconds)$:Distance $= 	ext{Speed} 	imes 	ext{Time} = \frac{5}{6} 	imes 120 = 100 \, m$.Since the man crosses the square field diagonally,the diagonal $d$ of the square is $100 \, m$.The formula for the diagonal of a square is $d = a\sqrt{2}$,where $a$ is the side length.$a\sqrt{2} = 100 \Rightarrow a = \frac{100}{\sqrt{2}}$.The area of the square is $a^2$:Area $= \left(\frac{100}{\sqrt{2}}ight)^2 = \frac{10000}{2} = 5000 \, m^2$.

$A$ man walking at $3 \, km/h$ crosses a square field diagonally in $2 \, minutes$. The area of the field (in $m^2$) is:

Similar Questions

$A$ train running at the speed of $66 \, km/h$ crosses a signal pole in $18 \, seconds$. What is the length of the train (in $m$)?

$A$ car moving in the same direction passes a man walking at $4\, km/h$. The man can see the car for $3\, minutes$ and the visibility is up to a distance of $130\, m$. The speed of the car is: (in $km/h$)

Two trains,$130 \,m$ and $110 \,m$ long,are moving in the same direction. The faster train takes $1 \,minute$ to pass the other completely. If they are moving in opposite directions,they pass each other completely in $3 \,seconds$. Find the speed of each train (in $m/s$).

Two trains $A$ and $B$ start at the same time from Delhi and Patna respectively towards each other. They meet after $16 \, h$. If the distance between Delhi and Patna is $1872 \, km$ and train $B$ runs $27 \, km/h$ faster than train $A$,what is the speed of train $A$ in $km/h$?

The distance of the sun from the earth is $143,400,000 \text{ km}$. Light travels from the sun to the earth in $7 \text{ minutes}$ and $58 \text{ seconds}$. The velocity of light per second is (in $\times 10^5 \text{ km/sec}$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module