**TRAINS**

**General Concept:**

(1) Time taken by a train x mt long in passing a signal poster a
pole or a standing man = time taken by the
train to cover x mt

(2) Time taken by a train x mt long in passing a stationary object
of length y mt = time taken by the train to cover x+y mt

(3) Suppose two trains or two bodies are moving in the same
direction at u kmph and v kmph such that u > v then their relative speed is
u-v kmph

(4)If two trains of length x km and y km are moving in opposite directions
at u kmph and vmph,then time taken by the train to cross each other =
(x+y)/(u+v) hr

(5) Suppose two trains or two bodies are moving in opposite
direction at u kmph and v kmph then, their relative speed = (u+v) kmph

(6)If two train start at the same time from 2 points A & B
towards each other and after crossing they take a & b hours in reaching B
& A respectively then A's speed : B's speed = (b^1/2 : a^1/2 )

To exercise some problems on trains visit

**here**

**RACES AND GAMES OF SKILLS**

**Races:**

A contest of speed in running,
riding, driving, sailing or rowing is called a Race

**Race Course:**

The ground or path on which
contests are made is called a race
course

**Starting Point:**

The point from which a race
begins is called starting point.

**Winning point or goal:**

The point set to bound a race
is called a winning point.

**Dead Heat Race:**

If all the persons contesting a
race reach the goal exactly at the same time, then the race is called a dead
heat race.

**Start:**

Suppose A and B are two
contestants in a race .If before the start of the race, A is at the starting
point and B is ahead of A by 12 meters. Then we say that "A gives B a
start 12 meters.

->To cover a race of
100metres in this case, A will have to cover 100m while B will have to cover
88m=(100-12)

->In a100m race 'A can give
B 12m' or 'A can give B a start of 12m' or 'A beats B by 12m'means that while A
runs 100m B runs 88m.

**Games:**

A game of 100m, means that the
person among the contestants who Scores 100 points first is the winner.

If A scores 100 points while B
scores only 80 points then we say That 'A can give B 20 points'.

To exercise some problems on races visit here

Hi nice info....

ReplyDeletehere is another one.

http://infibee.com/general-aptitude/races-and-games/