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Two trains are moving in opposite directions at speeds of 140 km/h and 80 km/h. The length of one train is 340 m. The time taken by them to cross each
Question

Two trains are moving in opposite directions at speeds of 140 km/h and 80 km/h. The length of one train is 340 m. The time taken by them to cross each other is 11 seconds. The length (in m) of the other train, correct to 2 decimal places, is:

A.

330.83

B.

331.39

C.

332.22

D.

330.66

Correct option is C

Given:
Speed of first train = 140 km/h
Speed of second train = 80 km/h
Time = 11 seconds
Length of one train = 340 m
Formula Used:
Distance = Speed × Time
Solution:
Relative speed = 140 + 80 = 220 km/h
Convert into m/s = 220×518=110018 m/s220 \times \frac{5}{18}=\frac{1100}{18}\ \text{m/s}​​
Total distance covered in 11 seconds = (110018)×11=672.22 m\left(\frac{1100}{18}\right)\times 11 = 672.22\ \text{m}​​
Length of other train = 672.22 − 340 = 332.22 m

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