A and B start moving towards each other from places X and Y, respectively, at the same time. The speed of A is 20% more than that of B. After meeting on the way, A and B take 
hours and x hours, now to reach Y and X, respectively. What is the value of x?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 
Explanation:
Let the speed of B be v.
Speed of A = 1.2v
Let the distance be d.
Relative speed = v + 1.2v = 2.2v
Time taken to meet = d/2.2v
Time taken by A to cover distance = d/2.2v + 2(1/2) = d/2.2v + 5/2
d/1.2v = d/2.2v + 5/2
dv/2.64v2 = 5/2
d/v = 13.2/2 -----(1)
Time taken by B to cover distance = d/2.2v + x
d/v = d/2.2v + x
d/v - d/2.2v = x
1.2dv/2.2v2 = x
d/v = 11x/6
From eq(1),
13.2/2 = 11x/6
x = 3.6 = 36/10 =