Latest TCS Aptitude Question SOLUTION: A and B stand at distinct points of a circular race track of length 135 m. They cycle at a speed of a m/s and b m/s. They meet for the 1st time 9sec. After they start the race and

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(#M40153650) TCS Numerical Ability question time and distance Keep an EYE

A and B stand at distinct points of a circular race track of length 135 m. They cycle at a speed of a m/s and b m/s. They meet for the 1st time 9sec. After they start the race and for the second time 24 sec from the time they start the race. Now if b had started in the opposite direction to the one he had originally started. They would have met for the first time after the 18sec. If B is quicker then A , then find b?

Asked In TCS (8 years ago)

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Anand Richhariya  (8 years ago)

b=6m/s
a=3m/s
a+b=135÷15
So a+b=9
Nd thus they will totally cover 9×9=81m nd on reverse they will be 135-81=54m apart so when b changes direction

54/18=a-b(relative speed concept)
a-b=3

Frm here a+b=9 and a-b=3
We get b=6
a=3 as said in ques b is quicker.

Is this solution Helpfull? Yes (8) | No (7)  

Pritish Nayak  (8 years ago)

It is given they stand in distinct position in race track and after 9 secs they meet each other. So we can take this point (say P) as a relative starting point for the next meet i.e. after 24 secs from the original starting position.
So from P to next meet up point it took 24-9=15 sec.
A/C to formula Distance/(relative Speed)= time taken for 1st meet.
so 135/(a+b)=15 secs => (a+b)=9 m/sec........................(1)
Now we have relative speed and getting back to starting of the question: both A and B were at distinct position and met after 9 secs.
so distance covered = Relative speed x time taken= 9 m/sec x 9 secs=81 m. ( they are 81 m apart at their original position)
Now if B changes the direction then they will run away from each other from their original starting position
so the distance to be covered now is 135-81= 54 m
D/s=t => 54/(a-b)=18 => (a-b)=3 m/sec.........................(2)
so we got a+b=9 and a-b=3
by solving we get a=3 and b=6 (as b is quicker).

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sushma saroj  (8 years ago)

not understood

Is this solution Helpfull? Yes (1) | No (3)  

MK  (4 years ago)

Not understand

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