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Two trains are moving in opposite directions at speeds of 60 km/h and 70 km/h. The length of one train is 170 m. The time taken by them to cross each
Question

Two trains are moving in opposite directions at speeds of 60 km/h and 70 km/h. The length of one train is 170 m. The time taken by them to cross each other is 26 seconds. The length (in m) of the other train, correct to 2 decimal places, is:

A.

768.86

B.

770.75

C.

771.56

D.

769.34

Correct option is A

Given:
Speed of first train = 60 km/h
Speed of second train = 70 km/h
Length of first train = 170 m
Time to cross each other = 26 s
Formula Used:
Relative speed (opposite direction) = (Speed₁ + Speed₂)
Distance = (Length₁ + Length₂)
Time = Distance ÷ Relative Speed
Solution:
Relative speed = (60 + 70) km/h = 130 km/h
 In m/s = 130 × (5 ÷ 18) = 36.11 m/s
Time = 26 s, Distance = Length₁ + Length₂
26 = (170 + Length₂) ÷ 36.11
170 + Length₂ = 26 × 36.11 = 938.86
Length₂ = 938.86 − 170 = 768.86

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