Two trains travelling in opposite direction at 60 kmph and 50 kmph crossed each other in 9 s. If the train which is travelling at 60 kmph crossed a pole in 6 s, then find the length of the train which is travelling at 50 kmph.
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1
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Let the length of the train, which is traveling at 60 kmph or
m and the length of the train travellin at 50 kmph or
m. <br>
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<br> It is also given that,
<br>
<br>
<br>
<br> Hence, the correct option is (c).
Answered by
1
Answer:
Solution
Let the length of the train, which is traveling at 60 kmph or `(50)/(3) " m/s, is " l_(1)` m and the length of the train travellin at 50 kmph or `(125)/(9) "m/s is "l_(2)` m.
`"Given," (l_(1))/(50/3) = 6`
`rArr l_(1) = (50)/(3) xx 6 = 100m`
It is also given that, `(l_(1) + l_(2))/(50/(3) + (125)/(9)) = 9`
`rArr l_(1) + l_(2) = 9((150 + 125)/(9))`
`rArr 100 + l_(2) = 275`
`rArr l_(2) = 175m`
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