Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other.How nuch faster is one train from other?

Two trains starting at same time, one from Bangalore to 
Mysore and other in opposite direction arrive at their 
destination 1 hr and 4 hours respectively after passing 
each other.How nuch faster is one train from other?

Ques:- Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other.How nuch faster is one train from other?
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2 Answers on this Question

  1. et v1-peed of train from bangalore to mysore(train1)
    v2- speed of train from mysore to bangalore(train2)
    and x be the distance from B to M
    and a be the distance from bangalore till meet point
    (i.e.)train1 travels a km and train2 travels x-a km
    time taken by train1 to travel a=time taken by train2 to
    travel x-a
    a/v1=x-a/v2, v1/v2=a/x-a
    time taken by train1 to travel x-a=1hr
    x-a/v1=1, x-a=v1
    time taken by train2 to travel a=4hrs
    a/v2=4, a=4v2
    therefore s1/s2=4s2/s1
    s1^2=4s2^2
    s1:s2=2:1
    train1 speed=twice the speed of train2

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