Question
A train can cross a pole in 6 seconds while it can cross
a 240 metres long platform in 18 seconds. Find the time (in hours) taken by the train to cover a distance of 540 km if the train increased its speed by 50%.Solution
Let speed of train is ‘x’ m/s while length of the train is ‘l’ metres.
So, l = 6x
And, l + 240 = 18x
⇒ 6x + 240 = 18x
⇒ 12x = 240
⇒ x = 20
Speed = 20 × 18/5 = 72 km/h
Increased speed = 1.5 × 72 = 108 km/h
Time = 540 / 108 = 5 hours
Train P travelling at 60 km/hr crosses another train Q, having three fourth of its length and travelling in opposite direction at 30 km/hr in 28 seconds...
Train ‘A’ of length 150 metres crosses a platform of length 250 meters in 20seconds. If the ratio of the speed of train ‘A’ to that of train ‘...
Two cars start from a place with a speed of 50 km/hr at an interval of 12 minutes. What is the speed of a man coming from the opposite direction towards...
- Train ‘X’ is 360 metres long and takes 18 seconds to cross a pole. Speed of train ‘Y’ is 22 m/sec. If both trains cross each other in 16 seconds wh...
A train Lucknow Express leaves station A at 4 am and reaches station B at 7 am. Another train Kanpur Express leaves station B at 6 am and reaches statio...
A train 275 metre long takes 30 sec to cross a man running at a speed of 3 km/hr in the direction opposite to that of train. What is the speed of the tr...
A train running at 90 km/hr crosses a vertical pole in 5 seconds and a platform in 20 seconds. Determine the length of the platform.
Two trains of same length are running in parallel tracks in the same direction with speed 40 km/hr and 100 km/hr respectively. The latter completely cro...
A train 400 metre long takes 40 sec to cross a man running at a speed of 4 km/hr in the direction same to that of train. What is the speed of the train?
Train ‘A’ travelling with a speed of 72 km/h can cross a pole in 18 seconds. If the length of train ‘B’ is 60% less than that of train ‘A’ a...