Question
Two trains of same length are running in parallel tracks
in the same direction with speed 61 km/hr and 115 km/hr respectively. The latter completely crosses the former in 20 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 = (115 – 61) × (5/18) = 15 m/sec. ∴ Total length = Time × Relative speed ⇒ 2x = (20 × 15) ⇒ x = 150 m
Train A, moving at a speed of 90 km/h, passes a stationary pole in 9.4 seconds. When encountering Train B, which is traveling towards it at a speed of 5...
Two trains are running on parallel lines in the same direction at the speed of 75 km/h and 39 km/h respectively. The faster train crosses a man in the s...
Train 'A' takes 36 seconds to pass a boy standing on a platform, moving at a speed of 15 m/sec. The speeds of trains 'A' and 'B' are in the ratio of 5:6...
Length of a train, whose speed is 84 km/h, is 420 metres. Find the time taken (in seconds) by train to cross a bridge of length 280 metres.
- Train βXβ is 360 metres long and takes 18 seconds to cross a pole. Speed of train βYβ is 22 m/sec. If both trains cross each other in 16 seconds wh...
- Train 'A' having a speed of 12 m/s can cross a man in 10 seconds. The length of train 'B' is 180 metres more than the length of 'A'. If the speed of 'B' is...
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...
- Train 'R' starts from Lucknow to Kanpur at 5:00 a.m. Train 'S' starts from Kanpur to Lucknow at 7:00 a.m., traveling at 50 km/h. They cross each other at 1...
A goods train leaves a station at a certain time and at a fixed speed. After 9 hours, an express train leaves the same station and moves in the same dir...
- Train P is 180 m long and crosses a platform of 120 m in 15 seconds. The speed ratio of train P to train Q is 4:5. What is the length of train Q if it cros...