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· 1 Months ago

speed of faster train is average of both, how?????????

Question:
Two trains, each 100 m long, pass each other on parallel lines. If they are going in the same direction, the faster one takes one minute to pass the other completely. If they are going in different directions, they completely pass each other in 3 seconds. Find the speed of faster train in kmph.
Options:
A) 95.5 kmph         
B) 99.5 kmph
C) 126 kmph
D) 120.7 kmph
Solution:

R1 = \(\cfrac{100+100}{60}\) = \(\cfrac{200}{60}\)= \(\cfrac{10}{3}\) R2 = \(\cfrac{100+100}{3}\) = \(\cfrac{200}{3}\) m/s

Speed of faster train = \(\cfrac{\cfrac{10}{3}+\cfrac{200}{3}}{2}\) = \(\cfrac{210}{6}\) = \(\cfrac{105}{3}\)

\(\cfrac{105}{3}\) × \(\cfrac{18}{5}\) = 126 kmph.

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