Examveda
Examveda

A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. $$\frac{5}{{12}}$$ of the distance AB measured from the entrance A. When the train whistles the Cat runs. If the cat moves to the exit B, the train catches the cat exactly the exit. The speed of the train is greater than the speed of the cat by what order ?

A. 1 : 6

B. 3 : 5

C. 6 : 1

D. 5 : 4

E. None of these

Answer: Option C

Solution(By Examveda Team)

Train(T)__________ A_____5k____CAT__________B

T<-------x--------------><----12k-------------------------->

Let the speed of train be u and the speed of Cat be v and train whistles at a point T, X km away from A. Let AB = 12k and Cat was 5k distance away from A. Time was constant for both, then
$$\eqalign{ & \Rightarrow \frac{v}{u} = \frac{x}{{5k}} = \frac{{ {x + 12k} }}{{7k}} \cr & \Rightarrow 7x = 5\left( {x + 12k} \right) \cr & \Rightarrow \frac{x}{k} = \frac{{30}}{1} \cr & {\text{Thus}}, \cr & \Rightarrow \frac{u}{v} = \frac{{30}}{5} = \frac{6}{1} \cr} $$
  $${\text{or,}}\,\,6:1$$

This Question Belongs to Arithmetic Ability >> Speed Time And Distance

Join The Discussion

Comments ( 3 )

  1. MD Rakib
    MD Rakib :
    6 years ago

    intranse=5parts
    exits=12-5=7 parts
    so df=7-5=2 for cat &12 For train
    so ratio of T:C=12:2=6:1...(ANS)

  2. Babjan Bittu
    Babjan Bittu :
    7 years ago

    Even though u explained i can't able to understand ur explanation. Can u please explain in brief ??
    Pls mail me babjanbitti@gmail.com

  3. Shashank
    Shashank :
    8 years ago

    6:1

Related Questions on Speed Time and Distance