Average speed along the x-axis (Vx) = ∫|Vx|dt / ∫dt = (d1+d2)/(t1+t2) →(1)
We also have, r1=mv/qB1, r2=mv/qB2
since B1 = B2/4 ∴ r1=4r2 →(2)
Time in B1 → π/qB1 = t1
Time in B2 → π/qB2 = t2
Total distance along x-axis d1+d2 = 2r1+2r2 = 2(r1+r2) = 2(5r2)
Total time T = t1+t2 = 5t2
∴ Average speed = 10r2/5t2 = 2mv/qB2 × qB2/πm = 2