Question
Two trains of same length are running in parallel tracks
in the same direction with speed 65 km/hr and 95 km/hr respectively. The latter completely crosses the former in 30 seconds. Find the length of each train (in m).Solution
When two trains cross each other, they cover distance equal to the sum of their lengths with relative speed.  Let's take length of each train = x So, total length of both trains = 2x Relative speed = (95 – 65) × (5/18) = 25/3 m/sec. ∴ Total length = Time × Relative speed ⇒  2x = (30 × 25)/3 ⇒  x = 125 m
Two trains running at the rates of 75 and 60 kmph respectively, On parallel rails in opposite directions, are observed to pass each other in 12 seconds,...
Speed of a car is (v + 5) km/h, which is 7 km/h less than that of bike. Time taken by car to cover 72 km is 25% less than the time taken by bike to cov...
A train 120 m long passes a man standing on a platform in 8 seconds. What time (in seconds) will it take to pass completely over a platform 180 m long a...
Train A running at 81 km/h takes 72 sec to overtake train B, when both the trains are running in the same direction, but it takes 36 sec to cross each o...
A train travelling with a speed of 72 km/h can cross a pole in 8 seconds. Find the time taken by the train to cross a 200 metres long platform if the sp...
A train can cross a pole in 32 seconds. While if the train increased its speed by 45% then time taken by it to cross 289 metres long platform is 42 seco...
Two buses, ‘X’ and ‘Y’, started simultaneously from city ‘M’ and city ‘N’ towards each other. When they crossed each other after 6 hours...
How many seconds will a train 68 m in length, travelling at the rate of 40 km an hour, take to pass another train 92 m long, proceeding in the same dire...
A 600-metre-long train takes 24 seconds to cross a pole. Due to a technical issue, its speed is reduced by 20%. Find the time taken by the train to cros...
A train traveling at a velocity of 45 km/h passes a stationary object in 36 seconds. Calculate the time it takes for the train to traverse a platform th...
Relevant for Exams:
