MCA Entrance Previous Year Question Bank

A train after travelling 60 km meets with an accident and then proceeds at 3/4 of its former rate and arrives at the terminus 40 minutes late. Had the accident happened 25km further on, it would have arrived 10 minutes sooner. Find the speed of the train and the distance, respectively.

Recentily, while in Benguluru, I decided to walk down the escalator of a tube station. I did some quick calculation in my mind. I found that if I walk down twenty six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty four stairs I would only require eighteen seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom, what is the height of the stairway in steps ?

If a man walks at the rate of $4\text{ km/h}$, he misses a train by only $6\text{ min}$. However, if he walks at the rate of $5\text{ km/h}$ he reaches the station $6\text{ min}$ before the arrival of the train. The distance covered by him to reach the station is:

A culprit was spotted by the police from a distance of 250 m. When the police men started running towards the culprit at a speed of 10 km/h, the culprit also fled. If his speed was 8 km/h, find out how far the culprit had run before he was overpowered.