Latest Elitmus Aptitude Question SOLUTION: a train has crossed a tunnel of length 340 m in 42 sec, another tunnel of length 500m in 50 sec then find the speed of train.

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(#M40164387) ELITMUS Numerical Ability question elitmus 16/4/17 Keep an EYE

a train has crossed a tunnel of length 340 m in 42 sec, another tunnel of length 500m in 50 sec then find the speed of train.

Asked In Elitmus Deepak Bharty (7 years ago)

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Anurag M  (7 years ago)

let x be length of the train
or (340+x)/42=(500+x)/50
or x= 500m
speed of train=(500+500)/50=20m/s

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shubhm  (7 years ago)

340+length of train (x) in 42 sec. (Equation 1).
500+length of train(x) in 50 sec (Equation 2).
solve 1 and 2
x=500 m

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ramesh kumar  (7 years ago)

Speed of train is 72 km / h ... L+340=42s
L+500=50s .solve this two equation u get s=72 km /, h

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Kaustav Pallob  (5 years ago)

Difference b/w two tunnel = (500 - 340) = 160 m
Difference b/w Passing Time = (50 - 42) = 8 sec

So, 160 m is equivalent to 8 sec => 20 m is equivalent to 1 sec
So, Total distance => 42 * 20 = 840 or 50 * 20 = 1000
So , Train length => 840 - 340 = 500 or 1000 - 500 = 500 (same in each case)

So, Speed of the Train = 840 / 42 = 20 m/s = 72 km/hr or 1000 / 50 = 20 m/s = 72 km/hr (Ans)

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shubham kumar maurya  (5 years ago)

let speed of train = y km/h
let the lenght of train = x
42y = 340 +x ....eq1
50y = 500 +x...eq 2
sloving 1&2
8y =160
y = 20km/h

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