Two trains 105 m and 90 m long, run at the speeds of 45 km/h and 72 km/h respectively

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RRB TC CC Exam (Chandigarh) 2008 click here to view all questions

Two trains 105 m and 90 m long, run at the speeds of 45 km/h and 72 km/h respectively, in opposite directions on parallel tracks. The time which they take to cross each other is

A8 sec.

B6 sec.

C7 sec.

D5 sec.

Nithin K ? Apr 7 '2018 at 15:28

Answer is : B. 6 sec.

Explanation:

Length of the 1st train = 105 m;
Length of the 2nd train = 90 m.
Relative speed of the trains,
= 45+72 = 117kmph
\(= 117\times\frac{5}{18} = 32.5 m/sec\)
\(\text{Time taken to cross each other},\)
\(=\frac{\text{ (Length of 1st train + length of 2nd train)}}{\text{relative speed of the trains}}.\)
Time taken = \(\frac{195}{32.5}\) = 6 secs.

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