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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 min only. The correct time for the train to complete its journey is :
Answer & Solution
Correct 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
$$\eqalign{ & \therefore \frac{{\left( {x + 11} \right)}}{{60}} \times 40 = \frac{{\left( {x + 5} \right)}}{{60}} \times 50 \cr & \Leftrightarrow x = 19{\text{ min}} \cr} $$
Distance covered in (x + 11) min at 40 kmph
= Distance covered in (x + 5) min at 50 kmph
$$\eqalign{ & \therefore \frac{{\left( {x + 11} \right)}}{{60}} \times 40 = \frac{{\left( {x + 5} \right)}}{{60}} \times 50 \cr & \Leftrightarrow x = 19{\text{ min}} \cr} $$
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