$I_1+e=\frac{\lambda}{4}$
$I_2+e=\frac{3 \lambda}{4}$
$I_2-I_1=\frac{\lambda}{2}$
$0.48-0.15=\frac{\lambda}{2}$
$0 \lambda=0.66$
$\text { Velocity }=f \lambda=500 \times 0.66=330 \,m / s$
$y_1=A \sin \left(k x-\omega t+\frac{\pi}{6}\right), \quad y_2=A \sin \left(k x-\omega t-\frac{\pi}{6}\right)$
The equation of resultant wave is

${z_1} = a\cos (kx - \omega \,t)$.....$(A)$
${z_2} = a\cos (kx + \omega \,t)$.....$(B)$
${z_3} = a\cos (ky - \omega \,t)$..... $(C)$