Distance & Speed Questions
A 270 metres long train running at the speed of 120 Kmph crosses another train running in opposite direction at the speed of 80kmph in 9 seconds. What is the length of the other train?
A) 230 m
B) 240 m
C) 260 m
D) 320 m
E) None of the these
Answer: Option A
Relative speed = (120 + 80) km/hr
= (200*5/18) m/sec = 500/9 m/sec
Let the length of the other train be X metres
Then, X+ 270/9 = 500/9
X = 230
Two trains, each 100 m long, moving in opposite direction, cross each in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
Answer: Option C
Let the speed of the slower train be x m/sec.
Then, speed of the faster train = 2x m/sec.
Relative speed = (x + 2x) m/sec = 3x m/sec.
(100 + 100)/8 = 3x
24x = 200
X = 25/3
So. Speed of the faster train = 50/3 m/sec
= (50/3*18/5) Km/hr = 60Km/hr
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 Km/hr respectively in opposite direction on parallel tracks. The time (in seconds) which they take to cross each other, is:
Answer: Option D
Relative speed = (60 + 40) km/hr = (100*5/8) m/sec = 250/9 m/sec
Distance covered in crossing each other = (140 + 160) m = 300 m
Required time = (300*9/250) sec. = 10.8 sec
A train 800 metres long is running at a speed of 78 Km/hr. If it cross a tunnel in 1 minute, then the length of the tunnel (in metres) is:
Answer: option C
Speed = (78*5/18) m/sec = (65/3) m/sec
Time = 1 minute = 60 seconds
Let the length of the tunnel be x metres.
Then, (800 + x/60) = 65/3
3(800 + x) = 3900
X = 500
CAT 2018 exam is being conducted on 25th November 2018.
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