Question : Two trains, 180 meters and 120 meters in length, are running towards each other on parallel tracks, one at the rate of 65 km/h and another at 55 km/h. In how many seconds will they be clear of each other from the moment they meet?
Option 1: 6
Option 2: 9
Option 3: 12
Option 4: 15
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Correct Answer: 9
Solution :
Use: Time taken to cross each other = $\frac{\text{Sum of the lengths of two trains}}{\text{Relative Speed}}$
Speed of 1st
train = 65 km/h
Speed of 2nd
train = 55 km/h
They run in opposite directions, therefore,
Relative speed = 65 + 55 = 120 km/h
Converting this into m/sec,
⇒ 120×$\frac{5}{18}=\frac{100}{3}$ m/sec
Length of 1st train = 180 meter
Length of 2nd
train = 120 meter
Total length = 180 + 120 = 300 meter
Time taken = $\frac{300}{\frac{100}{3}}$
Time taken = 300×$\frac{3}{100}$ = 9 sec
Hence, the correct answer is 9.
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