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Question

If a train runs at 40 kmph, it reaches its destination late by  11 minutes but if it runs at 50  kmph , it is late by  5 minutes  only . The correct time for the rain to complete its journey is :


Options:
A .  13 min.
B .  15 min.
C .  19 min.
D .  21 min.
Answer: Option C

Let the correct time to complete the journey  be `x` min.

Distance covered in `(x + 11)` min. at 40 kmph = Distance covered in `(x + 5)` min. at 50 kmph.

`:.`    `   ((x + 11))/(60) xx 40 = ((x + 5))/(60) xx 50       hArr  x` = 19 min.



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