A bird flies to and fro between two cars which move with velocities v1 = 20 m/s and v2 = 30 m/s. If the speed of the bird is v3 = 10 m/s and the initial distance of separation between them is d = 2 km, find the total distance covered by the bird till the cars meet

Question

A bird flies to and fro between two cars which move with velocities v1 = 20 m/s and v2 = 30 m/s. If the speed of the bird is v3 = 10 m/s and the initial distance of separation between them is d = 2 km, find the total distance covered by the bird till the cars meet <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/9ab441f72ecdc214bd9b794b5dabf2aa-.png" /> (A) 2000 m (B) 1000 m (C) 400 m (D) 200 m

Tardigrade Admin · Accepted Answer

Time to meet the cars: t=(d/v1+v2) Distance travelled by bird in this time s=v3t =(v3 d/v1 +v2) =(10×2000/(20+30)) =400 m

Q. A bird flies to and fro between two cars which move with velocities $v_{1} = 20 m / s$ and $v_{2} = 30 m / s$ . If the speed of the bird is $v_{3} = 10 m / s$ and the initial distance of separation between them is $d = 2 km$ , find the total distance covered by the bird till the cars meet

$2000 m$

$1000 m$

$400 m$

$200 m$

Time to meet the cars: $t = \frac{d}{v _{1} + v _{2}}$
Distance travelled by bird in this time
$s = v_{3} t = \frac{v _{3} d}{v _{1} + v _{2}}$
$= \frac{10 \times 2000}{( 20 + 30 )}$
$= 400 m$

Q. A bird flies to and fro between two cars which move with velocities v1​=20m/s and v2​=30m/s. If the speed of the bird is v3​=10m/s and the initial distance of separation between them is d=2km, find the total distance covered by the bird till the cars meet

2000m

1000m

400m

200m