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Kalka express whose length is 600 m and Agra express whose length is 400 m start running towards each other and cross each other in 10 seconds. If the speed of the Kalka express is 60 m/s, then find the speed of Agra express.

Kalka express whose length is 600 m and Agra express whose length is 400 m start running towards each other and cross each other in 10 seconds. If the speed of the Kalka express is 60 m/s, then find the speed of Agra express. Correct Answer 40 m/s

Given:

Length of Kalka express = 600 m

Length of Agra express = 400 m

Speed of Kalka express = 60 m/s

Formula used:

Speed = Distance/Time

Concept used:

Suppose two trains or two bodies are moving in the opposite direction at u m/s and v m/s, then their relative speed is = (u + v) m/s

Calculation:

Let the speed of the Agra express be x m/s

According to the concept used,

Relative speed = (60 + x) m/s

In 10 seconds they cross to each other,

Time = Distance/Speed

⇒ 10 = (600 + 400)/(60 + x)

⇒ 10x = 1000 - 600

⇒ x = 400/10 = 40 m/s

∴ The speed of Agra express is 40 m/s.

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