Question

Two trains of length 500 m and
1000 m moving in opposite
direction with same speed crosses
each other in 10 s, find their speed:
A
75 m/s
B
150 m/s
С
100 m/s
D
None of these
O​

Answer 1

Answer:

75m/s is the answer of these

Answer 2

Given :

Two trains of length 500m and 1000m moving in oppsite direction with same speed crosses each other in 10s$.$

To Find :

We have to find speed of each train$.$

Solution :

⟶ Let velocity of train A be V and that of train B be -V [-ve sign shows opposite direction]

✼ Relative velocity train A wrt B

➝ V(AB) = V(A) - V(B)

➝ V(AB) = V - (-V)

➝ V(AB) = 2V

✼ Total path length to be covered by each train = 500 + 1000 = 1500m

We know that, speed is defined as the ratio of distance travelled to the time taken.

⇒ Speed = Distance/Time

⇒ 2V = 1500/10

⇒ 2V = 150

⇒ V = 150/2

⇒ V = 75m/s

፨ Speed of each train = 75m/s.