SBI Clerk Mains Written Test Qs.(Quantitative Aptitude) :: Problems on Trains - Discussion

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Explanation:
1.Time taken for x km by train = Time taken for 3/8 of AB by cat
2.Time taken for x+8 km by train = Time taken for 5/8 of AB by cat
eq1 => x/v1=(3/8)AB/v2
eq2 => (AB+x)/v1=(5/8)AB/v2 => x/v1=AB((5/8v2)-1/v1)
LHS of eq1 and eq 2 are same so RHS of 2 eqns are equal so :
(3/8)AB/v2 = AB((5/8v2)-1/v1)
(3/8)/v2=(5/8v2)-1/v1
1/v1=(2/8v2)
1/v1=1/4v2
v1=4v2