Latest TCS Aptitude Question SOLUTION: In a circular track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the o

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(#M40038558) TCS Numerical Ability question time speed and distance Keep an EYE

In a circular track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. when will all the three meet for the first time after the start?

Asked In TCS Niveditha Ravichandran (9 years ago)

Solved Sushma Sharma Read Solution (8)

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SUMANTA SAMANTA  (9 years ago)

A takes (100m) / (10m/s) = 10s to finish one complte round.
B takes (100m) / (8m/s) = 12.5s to finish one complte round.
C takes (100m) / (15m/s) = (20/3)s to finish one complte round.
For them to meet, the time will be LCM of above three times ie LCM(10,12.5,20/3)
= LCM(10/1,25/2,20/3)
= LCM(10,25,20)/GCD(1,2,3)
=100/1
=100

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Sushma Sharma  (9 years ago)

ans:100s
For A & B,
t=100/(10-8)
t=50s
A and B meet after every 50s.
After second 50s,C travels 1500m.
so A,B,C meet every 100s.

Is this solution Helpfull? Yes (9) | No (3)  

kopal goswami  (9 years ago)

100s these type of question shoul b solved by using the examples. the options are 4s, 50s,100s,200s. so 4*10+4*8+4*15=132 which is nt the multiple of 100.. similarly check for others. 100s will b d 1st tme when they vll meet. through 200 also also 100 multiple will come bt it vll nt the first tme.

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shrey  (9 years ago)

A takes (100m) / (10m/s) = 10s to finish one complte round.
B takes (100m) / (8m/s) = 12.5s to finish one complte round.
C takes (100m) / (15m/s) = (20/3)s to finish one complte round.
For them to meet, the time will be LCM of above three times ie LCM(10,12.5,20/3)
= LCM(10/1,25/2,20/3)
= LCM(10,25,20)/GCD(1,2,3)
= 50/1
= 50 seconds.

Is this solution Helpfull? Yes (6) | No (8)  

G.Jaya Krishna  (9 years ago)

after 100s, In 100 sec A completes 10 cycles.B completes 8 cycles. C completes 15 cycles.
Best way is check options

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kopal goswami  (9 years ago)

M.R Priya .. it should be d multiple of 100 becoz tracks length is 100m...

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Priya Dharshini  (9 years ago)

y it should be 100 multiple.....

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ankur s  (9 years ago)

@shrey lcm(10,25,20) is 100, not 50.

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