By conservation of linear momentum,
Pi=Pf
Where Pi and Pf are initial and final momentum of system (boy + man)
Now, 0=mbvb+mmvm......(i)
vb= velocity of boy w.r.t. ground
vm= velocity of man w.r.t. ground
vbm= velocity of boy w.r.t. man
So, vbm=vb−vm
or vb=vbm+vm
or vb=0.7+vm ........(ii)
From equation (i) and (ii),
0=20(0.7+vm)+50vm
vm=−7014=−0.20ms−1
Negative sign shows velocity of man is opposite to boy.