Latest Accenture Aptitude Question SOLUTION: At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed each other at 1:30 p.m. the same day. If the average speed of the faster train

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(#M40003664) ACCENTURE Numerical Ability question Keep an EYE

At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They
passed each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the
average speed of the slower train by 6 miles per hour, which of the following represents the speed of
the faster train, in miles per hour?
A. 38 B. 40 C. 44 D. 48 E. 50

Asked In Accenture (12 years ago)

Solved Dr.Dipin Singh Read Solution (5)

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Dr.Dipin Singh  (12 years ago) Best Solution

44 mph

If s is speed of faster train, then
3.5*s +3.5*(s-6) =287
solving it, we get
s=44 mph

Is this solution Helpfull? Yes (59) | No (5)  

binal bhatt  (8 years ago)

As two trains are going in opposite direction to each other....their resultant speed will be sum of their speed...suppose slower train has speed "x" and faster train has speed "x+6" mph then according to equation time=(distance/speed) we can write,

287/(x+x+6) =(7/2) (because it takes 3.5 hours to cross each other.)
solving this we get x=38

and so speed of faster train is x+6=44

Is this solution Helpfull? Yes (18) | No   

Rohit A Bhole  (11 years ago)

distance to be covered by train which will overtake is distance between train+length of the train (to be overtaken)=2000+200=2200 m assuming they are travelling in same direction so only car travelling at higher speed will overtake train travelling at 20 m/s
relative speed=30-20=10 m/sec(distance travelled by train at 30 m/sec)every sec
time=distance/speed
time=2200/10=220 sec

if travelling in oipposite direction speed=20+30=50m/sec
time=2200/50=44 sec (tie taken by train travelling at 30 m/sec)
time=2000+300=2300/50=46 sec(time taken by train travelling at 20 m/sec)

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mukeshreddy  (7 years ago)

goood explanation by binal bhaat

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sindhu  (10 years ago)

can anyone explain it clearly...

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