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17 Apr 2019, 01:24
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B
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[GMAT math practice question]
A train traveling at 60 km per hour reaches a tunnel that is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, then how long is the train in meters?
A. 100
B. 200
C. 300
D. 400
E. 500
A train traveling at 60 km per hour reaches a tunnel that is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, then how long is the train in meters?
A. 100
B. 200
C. 300
D. 400
E. 500
Archit3110
Major Poster
17 Apr 2019, 02:05
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MathRevolution
total distance ; 9x+x ; 10x
and speed 60 kmph or say 60 * 5/18 m/s
and time; 120 sec
so
10x = 60*5/18 * 120
x= 200 m
IMO B
17 Apr 2019, 03:40
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let the length of the train be x meters
the length of the tunnel will be 9x meters
The train completely clears the tunnel, so it travels 9x+x meters, to cover the length of the tunnel as well as it's own length.
We have got the proportion
2 min --> 10x meters
60 min --> 60 000 meters
x=\(\frac{2*60 000}{10*60}\)=200
IMO
Ans: B
the length of the tunnel will be 9x meters
The train completely clears the tunnel, so it travels 9x+x meters, to cover the length of the tunnel as well as it's own length.
We have got the proportion
2 min --> 10x meters
60 min --> 60 000 meters
x=\(\frac{2*60 000}{10*60}\)=200
IMO
Ans: B
