Latest Exam Aptitude Question SOLUTION: The distance between the two stations X and Y is 220 km. A train leaves station X for Y at a speed 80 km/hr. After half an hour another train leaves station Y for X at a speed 100

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(#M40033299) EXAM Numerical Ability question quanta Keep an EYE

The distance between the two stations X and Y is 220 km. A train leaves station X for Y at a speed 80 km/hr. After half an hour another train leaves station Y for X at a speed 100 km/hr. Find the distance of the point from X, where the two trains meet.
Option
(a) 100 km
(b) 120 km
(c) 80 km
(d) 140 km

Asked In Exam AVIJIT (10 years ago)

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Vivek Jain  (10 years ago)

ans option b)120km

For first train dist. travelled in 1/2hr=80*1/2=40km
now let a point M at a distance (40+d)km from X be the meeting point.
So, time(T) needed for the first train to travel a distance of dkm T =d/80hr
And this time(T) will be equal for the second train leaving Y to meet first train, covering a distance of (220-(40+d))=180-d at a speed of 100kph
T=180-d/100
equating both T we get d=80km
So distance of the point from X, where the two trains meet (40+d)=40+80=120km

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