(REUTERS) – Seamers Trent Boult and Tim Southee struck late to leave New Zealand needing seven Zimbabwe wickets on the final day of the second Test after setting their hosts an unlikely victory target of 387 runs yesterday.Zimbabwe closed day four at the Queens Sports Club in desperate trouble on 58 for three after New Zealand had smashed a quick-fire 166 for two declared in 36 overs in their second innings.Craig Ervine and nightwatchman Donald Tiripano will resume in the morning having yet to get off the mark after Zimbabwe lost their top three before the close.Chamu Chibhabha (21) edged seamer Neil Wagner to Martin Guptill at third slip before Tino Mawoyo (35) was trapped lbw by Boult in the penultimate over.It got worse for the hosts when two balls later Southee produced a superb in-swinger to have Sikandar Raza (0) leg-before as well.Survival will be top of the agenda for Zimbabwe on an excellent batting wicket but they must find a way to counter the prodigious swing of the New Zealand seamers.Zimbabwe were 305 for six overnight in their first innings and lost their remaining four wickets for 57, including anchor Ervine for 146, his maiden Test century, as he picked out Wagner at long-off off the bowling of spinner Ish Sodhi.The latter was the pick of the visitors’ attack with 4-60 as New Zealand chose not to enforce the follow-on having been in the field for 143.4 overs.They rather pushed for quick runs in their second innings but slipped to 26 for two before captain Kane Williamson (67 not out) and Ross Taylor (68 not out) shared an unbeaten third-wicket stand of 140.The declaration came four overs after tea, leaving the tourists a minimum of 116 overs to bowl out their hosts.New Zealand lead the two-match series 1-0 after an innings and 117-run victory in the first Test.NEW ZEALAND 1st innings 582 for 4 decl. (T. Latham 136, R. Taylor 124 n.o., K. Williamson 113, M. Guptill 87, B. Watling 83 n.o.) ZIMBABWE 1st innings (overnight 305-6)T. Mawoyo b Southee 26C. Chibhabha c Williamson b Santner 60S. Raza c Williamson b Wagner 3C. Ervine c Wagner b Sodhi 146P. Masvaure b Santner 2S. Williams lbw b Sodhi 16P. Moor c Guptill b Sodhi 71G. Cremer lbw b Boult 8D. Tiripano lbw b Wagner 3J. Nyumbu c Santner b Sodhi 8M. Chinouya not out 0Extras: (b-12, lb-6, nb-1) 19Total: (all out, 143.4 overs) 362Fall of wickets: 1-65 T, 2-83, 3-107, 4-115, 5-147, 6-295, 7-319, 8-327, 9-352.Bowling: T. Southee 28-14-73-1, T. Boult 27-13-45-1, M. Santner 35-8-105-2, N. Wagner 31-8-61-2 (nb-1), I. Sodhi 21.4-9-60-4, M. Guptill 1-1-0-0.NEW ZEALAND 2nd inningsM. Guptill c Nyumbu b Chinouya 13T. Latham c Moor b Tiripano 11K. Williamson not out 68R. Taylor not out 67Extras: (lb-4, w-3) 7Total: (for 2 wickets declared, 36 overs) 166Fall of wickets: 1-24 T. Latham, 2-26 M. Guptill.Bowling: M. Chinouya 9-2-45-1 (w-2), D. Tiripano 6-1-14-1 (w-1), C. Chibhabha 3-0–22-0, G. Cremer 11-0-59-0, J. Nyumbu 7-0-22-0ZIMBABWE 2nd innings (Target: 387 runs)T. Mawoyo lbw b Boult 35C. Chibhabha c Guptill b Wagner 21S. Raza lbw b Southee 0D. Tiripano not out 0Extras: (b-1, lb-1) 2Total: (for 3 wickets, 25.2 overs) 58Fall of wickets: 1-45, 2-58, 3-58.Bowling: T. Southee 6.2-3-18-1, T. Boult 6-2-11-1, N. Wagner 8-3-21-1, M. Santner 5-2-6-0.