From two places, 60 km apart, A and B start towards each other at the same time and meet each other after 6 hour. If A traveled with ²/₃ of his speed and B traveled with double of his speed, they would have met after 5 hours. The speed of A is:

Explanation:-

A →_______60Km_________← B
Let the speed of A= x kmph and that of B = y kmph;

According to the question;
X*6+y*6 = 60
Or, x+y = 10 --------- (i)

And,

{(^2x/₃)*5}+(2y*5) = 60
Or, 10x+30y = 180;
Or, x+3y = 18; ---------- (ii)
From equation (i)*3 - (ii)
3x+3y-x-3y = 30-18
Or, 2x = 12
Hence, x = 6 kmph.