Problems on Trains

Arithmetic Aptitude

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Qn #2007
If a man walks at the rate of $4$ kmph, he misses a train by $6$ minutes. If he walks at $5$ kmph, he reaches the station $6$ minutes before the train. Find the distance to the station.
Qn #1858
A train travels 60 km, then due to an accident runs at $\dfrac{3}{4}$ of its former speed and reaches 40 minutes late. If the accident had occurred 25 km later, it would be 10 minutes earlier. Find the original speed and distance.
Qn #1625
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long, at the same speed. What is the length of the train, in meters?
Qn #1122
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
Qn #1082
Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50kmph towards Baroda situated 100 km away. At 7.00 am Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7:30 am Mr. Shah, the traffic controller at Baroda realizes that both trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?
Qn #959
If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:
Qn #695
Rajdhani Train running at a speed of 54 km/hr crosses a platform of length same as that of the train in 36 sec. If a Duronto train, which is 230 meters long crosses the same platform in 25 sec, then find speed of Duronto train (in km/hr)?
Qn #367
Two trains start from cities X and Y towards each other. At what time do they meet?
Qn #207
A Shatabdi railway links Mumbai and Nashik, which are 128 miles apart. A train leaves Mumbai travelling at 75 mph. Another train leaves Nashik at exactly same time travelling at 85 mph. Both trains are non-stop. Which train will be the farthest from Mumbai when they meet?
Qn #206

A train is travelling at a speed of 80 mph enters a tunnel that is 0.75 miles long. The length of the train to pass through the tunnel is 0.25 miles. How long does it take for all of the train to pass through the tunnel, from the moment the train enters to the moment the rear emerges?

Qn #118
Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec respectively and they cross each other in 23 sec. The ratio of their speeds is?
Qn #111
The speed of a bus increases by 2 km/hr after every one hour. If the distance traveled in the first one hour was 35 km, what was the total distance traveled in 12 hours?
Qn #109
John gets on the elevator at the 14th floor of a building and rides up at the rate of 84 floors per minute. At the same time, Vinod gets on an elevator at the 58th floor of the same building and rides down at the rate of 92 floors per minute. If they continue traveling at these rates, then at which floor will their paths cross?
Qn #7
A train moving at 108km/hr crosses a platform in 30 seconds. Then it crosses a man running at 12km/hr in the same direction of train in 9 seconds. What is the length of train and platform in metres ?
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