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 is travelling at a rate of $45 \, km/hr$. How many seconds will it take to cover a distance of $\frac{4}{5} \, km$?

Two stations $A$ and $B$ are $100 \, km$ apart on a straight line. One train starts from $A$ at $7 \, am$ and travels towards $B$ at $20 \, km/h$ speed. Another train starts from $B$ at $8 \, am$ and travels towards $A$ at $25 \, km/h$ speed. At what time will they meet?

$A$ motorcyclist left $6 \frac{2}{3}$ minutes later than the scheduled time,but in order to reach his destination $21 \, km$ away on time,he had to increase his speed by $12 \, km/h$ from his usual speed. What is the usual speed (in $km/h$) of the motorcyclist?

$A$ train $100 \, m$ long takes $3 \frac{3}{5} \, s$ to cross a man walking at the rate of $6 \, km/h$ in a direction opposite to that of the train. Find the speed of the train 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 $m/s$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module