Two guns were fired from the same place at an | vedclass

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

Question

(A) Let the speed of the train be $v_t 	ext{ m/s}$.The time interval between the two gunshots is $13 	ext{ minutes} = 780 	ext{ seconds}$.The time

Vedclass · Accepted Answer

$47 \frac{13}{25}$

Vedclass · Answer

(A) Let the speed of the train be $v_t 	ext{ m/s}$.The time interval between the two gunshots is $13 	ext{ minutes} = 780 	ext{ seconds}$.The time interval at which the person hears the shots is $12 	ext{ minutes } 30 	ext{ seconds} = 750 	ext{ seconds}$.In the time the train travels for $750 	ext{ seconds}$,the sound of the second shot covers the distance that the train would have covered in the remaining $30 	ext{ seconds}$ $(780 - 750 = 30 	ext{ seconds})$.Distance covered by sound in $30 	ext{ seconds} = 330 	imes 30 = 9900 	ext{ meters}$.This distance is covered by the train in $750 	ext{ seconds}$.Speed of the train $v_t = \frac{9900}{750} 	ext{ m/s} = 13.2 	ext{ m/s}$.To convert $	ext{m/s}$ to $	ext{km/hr}$,multiply by $\frac{18}{5}$:$v_t = 13.2 	imes \frac{18}{5} = \frac{132}{10} 	imes \frac{18}{5} = \frac{2376}{50} = \frac{1188}{25} 	ext{ km/hr}$.$v_t = 47 \frac{13}{25} 	ext{ km/hr}$.

Similar Questions

$A$ train travels $225 \ km$ in $3.5 \ hours$ and $370 \ km$ in $5 \ hours.$ Find out the average speed of the train in $km/h$.

$A$ truck covers $224 \ km$ in $4 \ hours$. The average speed of a bike is $\frac{1}{4}$ of the average speed of the truck. How much distance will the bike cover in $7 \ hours$? (in $km$)

If $I$ walk at $5\, km/hr$,$I$ miss a train by $7\, minutes$. However,if $I$ walk at $6\, km/hr$,$I$ reach the station $5\, minutes$ before the departure of the train. The distance between my house and the station is (in $km$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module