A hare sees a dog 100, m away from her and ru | vedclass

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

Question

(D) First,convert the speeds from $km/h$ to $m/s$ by multiplying by $\frac{5}{18}$.Speed of hare $= 12 	imes \frac{5}{18} = \frac{10}{3} \, m/s$.Spee

Vedclass · Accepted Answer

$900$

Vedclass · Answer

(D) First,convert the speeds from $km/h$ to $m/s$ by multiplying by $\frac{5}{18}$.Speed of hare $= 12 	imes \frac{5}{18} = \frac{10}{3} \, m/s$.Speed of dog $= 16 	imes \frac{5}{18} = \frac{40}{9} \, m/s$.In $1$ minute ($60$ seconds),the hare runs a distance of $d_1 = \frac{10}{3} 	imes 60 = 200 \, m$.At the moment the dog starts chasing,the total distance between them is $D = 100 + 200 = 300 \, m$.The relative speed of the dog with respect to the hare is $v_{rel} = (16 - 12) \, km/h = 4 	imes \frac{5}{18} = \frac{10}{9} \, m/s$.The time taken by the dog to catch the hare is $t = \frac{D}{v_{rel}} = \frac{300}{10/9} = 300 	imes \frac{9}{10} = 270 \, s$.The distance covered by the hare after being spotted (during the chase) is $d_2 = 	ext{speed of hare} 	imes t = \frac{10}{3} 	imes 270 = 900 \, m$.

$A$ hare sees a dog $100\, m$ away from her and runs off in the opposite direction at a speed of $12\, km/h$. $A$ minute later,the dog perceives her and gives chase at a speed of $16\, km/h$. How much distance is covered by the hare after being spotted? (in $m$)

Similar Questions

$A$ man takes $6$ hours $30$ minutes in walking to a certain place and riding back. He would have gained $2$ hours $10$ minutes by riding both ways. How long would he take to walk both ways? (in minutes)

$A$ person travels from $P$ to $Q$ at a speed of $40 \, km/hr$ and returns by increasing his speed by $50 \%$. What is his average speed for both the trips? (in $km/hr$)

$A$ boy walking at a speed of $10\, km/hr$ reaches his school $15\, minutes$ late. Next time he increases his speed by $2\, km/hr$, but still he is late by $5\, minutes$. Find the distance of his school from his house (in $km$).

Two trains are moving in the same direction at $50 \text{ km/hr}$ and $30 \text{ km/hr}$. The faster train crosses a man sitting in the slower train in $18 \text{ seconds}$. Find the length of the faster train in meters.

The ratio between the speed of a train and a car is $16: 15$. Also,a bus covered a distance of $480 \, km$ in $8 \, hours$. The speed of the bus is $\frac{3}{4}$ the speed of the train. How much distance will the car cover in $6 \, hours$? (in $km$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module