Question

If a train runs at 40 km/h, it reaches its destination late by 11 min, but if it runs at 50 km/h, it is late by 5 min only. The correct time for the train to complete its journey is

• A. 12 min
• B. 16 min
• C. 19 min
• D. 25 min

Answer 1

The correct option is C 19 min

Let the correct time to complete the journey be x minutes.
Distance covered in (x+11) min at 40 km/h.
= Distance covered in (x+5) min at 50 km/h
$\therefore \frac{(x+11)}{60}\times 40=\frac{(x+5)}{60}\times 50\Rightarrow x=19min$