Latest CTS Aptitude Question SOLUTION: How long will a train 100 m long travelling at speed 72kmph overtake another train which is 200m long travelling at 54kmph?

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How long will a train 100 m long travelling at speed 72kmph overtake another train which is 200m long travelling at 54kmph?

Asked In CTS Madhu (11 years ago)

Unsolved Read Solution (10)

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PARAG KAMRA  (11 years ago)

total speed=72-54=18 km/h=18*5/18=5 m/sec
total length=200+100=300 m
time=300/5=60 sec
so train will overtake another train in 1 minute(ans)

Is this solution Helpfull? Yes (74) | No   

Bala  (11 years ago)

The length of two trains are 100m, 200m and the speed are 20m/sec,15m/sec respectively..........the train overtake in 100+200/20-15 sec. (ie) 60 sec or 1min

Is this solution Helpfull? Yes (12) | No (1)  

Bidisha Pandey  (11 years ago)

72 kmph=72*5/18 mps=20mps.
54 kmph=54*5/18 mps=15 mps.
The train has to travel (200+100)m=300m to overtake the other one.
Resultant velocity=(20-15)mps=5 mps
time it takes to travel 300m at a velocity of 5 mps is 60 sec..
Ans 60 sec..

Is this solution Helpfull? Yes (6) | No   

HARDIKKUMAR PATEL  (11 years ago)

relatively speed=72-54=18kmph
total distance covered by fast train=100+200=300
time=300/(18*(5/18))=60 sec.

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karthick  (11 years ago)

relative speed =72-54=18
tot l=100+200
time=300/(18*5/18)=60s

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Bidisha Pandey  (11 years ago)

72 kmph=72*5/18 mps=20mps.
54 kmph=54*5/18 mps=15 mps.
The train has to travel (200+100)m=300m to overtake the other one.
Resultant velocity=(20-15)mps=5 mps
time it takes to travel 300m at a velocity of 5 mps is 60 sec..
Ans 60 sec..

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

Gayathri Muthraman  (11 years ago)

time=dist/speed
two trains travelling in same direction,so find relative speed
speed=72-54=18km/hr=18*(5/18)=5mt/s
dist=100+200=300
so time=300/5=>60sec (i.e)1min

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Vineet   (10 years ago)

Total length of train(L) => {100(L1)+200(L2)} m => 300 m
Relative Speed Of Train(V) => 72(V1)-54(V2) => 18 kmph => 5m/s
Total tiime taken to cross the train => Total length of train(L)/Relative Speed Of Train(V)
=> 300/5 sec
=> 60 sec.

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BANDAVARAM VINAY  (10 years ago)

if train of one length a metres nd b metres are moving in same direction at u m/s nd v m/s,.....then time taken by faster train to cross slower train is
a+b/u-v.....by applying thzz formula for above question u can get easilyyyyyyy...

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sanofur  (8 years ago)

speed=72-54=18kmph
total length=100+200=300m
time=300m/18*5/18=60sec=1min

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