CAT 2002QA Question 46

Relative SpeedEasy

There is a tunnel connecting city A and B. There is a CAT which is standing at 3/8 the length of the tunnel from A. It listens a whistle of the train and starts running towards the entrance where, the train and the CAT meet. In another case, the CAT started running towards the exit and the train again met the CAT at the exit. What is the ratio of their speeds?

Answer & solution

Correct answer: 4 : 1

  • 4 : 1

  • B

    1 : 2

  • C

    8 : 1

  • D

    None of these

Solution

Solution:

Let the speed of the train be St and the speed of the CAT be Sc.

Case 1:

The CAT runs towards the train.

dSt=3x8Sc

3x8×StSc=d ...(i)

Case 2:

The CAT runs away from the train.

d+xSt=5x8Sc

d=5x8×StSC-x ...(ii)

Equating (i) and (ii),

3x8×StSc=5x8×StSc-x38x×StSc=5x8×StSc-x38 StSc=58 StSc-1

∴ St : Sc = 4 : 1

Hence, option (a).

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CAT 2002 QA Q46: There is a tunnel connecting city A and B. There is a CAT which is standing at 3/8 the length of the tunnel fr — Solution | TheCATExam