# TRICKS TIPS SHORTCUTS FOR ALL THE TYPES OF PROBLEMS BASED ON RACES

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# TRICKS TIPS SHORTCUTS FOR ALL THE TYPES OF PROBLEMS BASED ON RACES

Hi Bankersdaily Aspirants,

## “Even the most tedious chore will become endurable as you parade through each day convinced that every task, no matter how menial or boring, brings you closer to achieving your dreams.”

Aspirants,this was our third day in our Learn Series We started with Time and Distance,we continue with Trains and today we are going to know about Races.If you haven’t gone through those two topics then this is right time to start your preparation

How to Solve problems based on Time,Speed and Distance

How to Solve problems based on trains

### RACES:

There are two types of Races are there they are Linear Races and Circular Races

### Type 1: LINEAR RACES:

**1.In a Race of 100 metre ,A beats B by 20 metre and beats C by 30m.Then in a race of 100 m by how many metre will B beats C?**

If A runs 100 metre then B will run 80 metre ,If A ru 100 metre then C will run 70 metre.

A | B | C |

100 | 80 | 70 |

B beats C by

(10/80)*100=12.5metres

**2.In a Race of 100 m A beats B by 20 m and in other Race B beats C by 30 m .then fow many metres A beats C?**

A B A |

B C C |

100 100 100 |

80 70 56 |

A beats C by 44m(100-56=44m)

**# 2.TYPE 2:**

**CIRCULAR RACE:**

**1.A,B and C participated in a Circular Race and A completes the race in 20 sec B in 15 sec and C in 10 secs if all the three starts at the same time and the same point then find when all will meet at the first time?**

A completes the circular field at 20,40,60..sec

B completes the circular field at 15,30,45,60…sec

C completes the circular field at 10,20,30,40,50,60.sec.

So they will meet in 60^{th} sec

Hint :

For first meet at starting point just take LCM if they move in same direction as well as in opposite direction

LCM(20,15,10=60sec)

**2.A and B moves around a circular field if A completes the circular field in 25 sec and B completes the circular field in 20 sec then at what time they will meet the first time?**

Opposite Direction: | Same Direction |

Speed of A=A
Speed of B=B Relative Speed=A+B |
Speed of A=A
Speed of B=B Relative Speed=A-B |

Speed | Time | Distance |

Speed of A=D/25 | 25sec | D |

Speed of B=D/20 | 20sec | D |

=D/((D/25)+(D/20))=500D/45D=**100/9sec**

** You may like to Read:**

HOW TO SOLVE TIME AND DISTANCE QUESTIONS?

TRICKS AND SHORTCUTS TO SOLVE PROBLEMS BASED ON TRAINS