Latest Elitmus Aptitude Question SOLUTION: two trains having length L1 & L2 and having velocities V1 & V2 cross each other in t units of time when moving in opposite direction and take time T to cross each other while movin

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(#M40157012) ELITMUS Numerical Ability question train problem asked on10 jul 16 Keep an EYE

two trains having length L1 & L2 and having velocities V1 & V2 cross each other in t units of time when moving in opposite direction and take time T to cross each other while moving in same direction. if the ratio of T to t (T:t) is 11 then what will be value of V1/V2 ?
a) 5L1/6L2 b) 6L1/5L2 C) 1.2 d) 11L1/L2

Asked In Elitmus abhishek chaubey (8 years ago)

Solved Subhrata Patra Read Solution (8)

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Read Solution (8) :

ROHIT BHARDWAJ  (8 years ago)

T/t=11
Then v1+v2 / v1-v2 = 11
V1/V2=1.2

Is this solution Helpfull? Yes (15) | No (1)  

Subhrata Patra  (8 years ago) Best Solution

option c) 1.2
T=L1+L2/V1-V2
t=L1+L2/V1=V2
therefore, V1+V2/V1-V2 =11

Is this solution Helpfull? Yes (11) | No (3)  

Alok  (8 years ago)

v1+v2=1/t--------(1)
v1-v2=1/T---------(2) (since,speed and time are inversely related)
from (1) and (2)
(v1+v2)/(v1-v2)=T/t
(v1+v2)/(v1-v2)=11----(given)
on cross multiplying, we get
v1+v2= 11(v1-v2)
Taking v1 on same side and v2 on other side, we get
12v2=10v1;
thus, v1/v2=1.2 (answer) option (C)

Is this solution Helpfull? Yes (6) | No   

ROHIT BHARDWAJ  (8 years ago)

T=(L1+L2)/(V1-V2) for same dir. Movement
t=(L1+L2)/(V1+V2) for opposite

Is this solution Helpfull? Yes (4) | No (1)  

madan  (8 years ago)

According to the question
V1 +V2=L1+L2/t
V1-V2= L1+L2/T
ON SOLVING
V1-V2/V1+V2 =1/11
V1/V2=1.2

Is this solution Helpfull? Yes (2) | No (1)  

Hemanth sai  (8 years ago)

In case , moving in same direction we can give the relationship as follows
L1+L2=(V1-V2)(T)--------(1)
In case , moving in opposite direction we can give the relationship as follows
L1+L2=(V1+V2)(t)-------(2)
by solving 1 & 2 and keeping T:t=11,
we get V1/V2=6L1/L2

Is this solution Helpfull? Yes | No (8)  

Shubham  (8 years ago)

T=(L1+L2)/(V1-v2)..(1)
t=(L1+L2)/(V1+v2)..(2)
(1)/(2)....
11=(v1+v2)/(v1-v2)
V1/V2=6L1/5l2(as v directly proportional to length)

Is this solution Helpfull? Yes | No (7)  

PRATIBHA  (8 years ago)

((L1+L2)/((V1-V2))(/(L1+L2)/(V1+V2))=11=>1.3
so ans is c

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