A train overtakes two persons walking along a railway track. The first one walks at 12.6 km/hr.
A train overtakes two persons walking along a railway track. The first one walks at 12.6 km/hr. The other one walks at 30.6 km/hr. The train takes 19.8 and 25.8 seconds, respectively, to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
एक ट्रेन रेलवे ट्रैक पर चल रहे दो व्यक्तियों को पार करती है। पहला व्यक्ति 12.6 किमी/घंटा की गति से चलता है। दूसरा व्यक्ति 30.6 किमी/घंटा की गति से चलता है। ट्रेन उन्हें पार करने में क्रमशः 19.8 सेकंड और 25.8 सेकंड का समय लेती है। यदि दोनों व्यक्ति ट्रेन की दिशा में ही चल रहे हों, तो ट्रेन की गति क्या होगी?
Detailed Solution & Logic
90 km/hr
Let the speed of the train be $x$ km/hr.
Since both persons are walking in the same direction as the train:
Relative speed with first person = $(x - 12.6)$ km/hr
Relative speed with second person = $(x - 30.6)$ km/hr
Length of the train remains same in both cases.
So,
$(x - 12.6)\times 19.8 = (x - 30.6)\times 25.8$
Expanding,
$19.8x - 249.48 = 25.8x - 789.48$
$540 = 6x$
$x = 90$
Therefore, the speed of the train is:
$\boxed{90 \text{ km/hr}}$
Correct option: 90 km/hr
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