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Important Formula: Time and Distance,Problem on Trains,Boats & Streams
Important Formula:
Speed = Distance / TimeTime = Distance / speedDistance = speed * time1 km/hr = 518ms1 m/s = 185Kmhr
If the ratio of the speed of A and B is a:b,then the ratio of the time taken by them to coverthe same distance is 1a:1b or b:a
Suppose a man covers a distance at x km/hr and an equal distance at y km/hr,then the AVERAGE SPEED during the whole journey is (2xy/x+y) km/hr
Out of time, speed and distance we can compute any one of the quantities when we happento know the other two. For example, suppose we drive for 2 hours at 30 miles per hour, for atotal of 60 miles.
If we know the time and the speed, we can find the distance:2 hour * 30 mileshour=60 miles If we know the time and the distance, we can find the speed:
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Categories: Aptitude, Formula
60 miles2 hours=30mileshour
Distance is directly proportional to Velocity when time is constant:
Train Problems:
The basic equation in train problem is the sameSpeed=Distance/Time
The following things need to be kept in mind while solving the train related problems.
Boats & Streams:
Let U= Velocity of the boat in still waterV=Velocity of the stream.
While moving in upstream, distance covered, S=(U−V)T
In case of downstream, distance covered , S=(U+V)T
Clock:
For clock problems consider the clock as a circular track of 60km.Min. hand moves at the speed of 60km/hr (think min. hand as a point on the track) and hourhand moves at 5km/hr and second hand at the speed of 3600 km/hr.Relative speed between HOUR hand and MINUTE hand = 55
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When the train is crossing a moving object, the speed has to be taken as the relativespeed of the train with respect to the object.
The distance to be covered when crossing an object, whenever trains crosses an objectwill be equal to: Length of the train + Length of the object
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