Aptitude Shortcuts in PDF Time and Distance (1)

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1. Distance =Average speed × time taken 2.  Average speed = 3. Time taken =

Distanc Distance e travel travelled led

time time taken taken Distan Distance ce travel travelled led Averag Average e Speed Speed

4. X km/hour = x ×

5 18

 meter per second

5. Y meter/second = y ×

18 5

 kilometer per hour.

1. The time taken by a train in passing a signal post or a telegraph pole or a main standing near a railway line

=

Lengt Length h of the trai train n Spee Speed d of the trai train n

2. The time taken by a train in passing a railway bridge or a platform or a tunnel or a train at rest =

m +n speed

Where, m = length of the train N= length of the bridge/platform/standing train/tunnel

1. Time taken by faster train to pass the slower train in the some direction = m1+m2 x1 −x2

www.ibpsguide.com Where, m1 =length of the first train, m2 = length of the second train, x1 = speed of the first train, x2 = speed of the second train and x1>x 2

2. Time taken by the train to cross the man =

m x −y

Where, both are in the same direction and m= Length of the train, x= Speed of the train and y= Speed of the man 3. Time taken by the train to cross the man running in the opposite direction = m x+y

Suppose, X = Speed of a boat or a man in still water. Y = Speed of the stream or the current or the river. Then,

1. Speed of boat or man with the stream(down stream)

www.ibpsguide.com = Down rate = x+y

2. Speed of boat or man against the stream (Up stream)

= Up rate = x-y

1

1. X = 2. Y=

2

1 2

(Down rate +Up rate) (Down rate – Up rate)

1. If a body covers a distance at the rate of x and another equal distance at the rate of y,then

 Average Speed =

2xy x+y

2. If a man changes his speed in the ratio of u : v, then the ratio of the time taken to cover the same distance is v : m.

1. In a question, unit of all given quantities (speed or distance) will be in the same manner i.e , either in kilometer per hour (speed) and kilometer (distance) or in meter per second (speed) and meter (distance) 2. Sometimes we have to change unit of given quantity according to need of the question. It should be the remembered.

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Distance

, Time =

Distance

i)

Speed =

ii)

X km /hr =x ×

iii)

X m/sec = x ×

iv)

Suppose a man cover a certain distance at x km/hr and equal

Time 5

18 18 5

Speed

 , Distance = Speed × Time

m/sec  km/hr

distance at y km / hr. then the average speed during the

Whole journey is [

2xy x+y

] km/hr

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