Question

A bus is moving with a uniform speed of 20 m/s on
a straight road. A police jeep wishes to catch the
bus in exact 50 s. If the bus is at a distance 500 m
ahead of police jeep. With what constant speed the
jeep should move to chase the bus?
to) 25 m/s
(2) 30 m/s
(3) 40 m/s
(4) 35 m/s​

Answer 1

Answer:

30 m/s the jeep should move to catch the thief

Answer 2

Answer: 30 m/s

Explanation:

The bus is moving with a uniform speed, S₁ = 20 m/s

The time required by the police jeep to catch the bus = 50 s

Distance between the bus and the police jeep = 500 m

Let the constant speed of the jeep be “S₂” m/s

 

Since the bus and the police jeep is moving in the same direction, therefore,  

The relative speed = (S₂ – S₁) m/s

So,  

Relative Speed = (Distance travelled) / (time taken)  

⇒ (S₂ - 20) = 500 / 50 ... [substituting the given values]

⇒ S₂ – 20 = 10

⇒ S₂ = 20 + 10

⇒ S₂ = 30 m/s

Thus, with a constant speed of 30 m/s, the jeep should move to chase the bus.