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Problem $11\mathrm{.}043-$ Two automobiles approaching each other in adjacent highway lanes

Two automobiles A and $B$ are approaching each other in adjacent highway lanes. At $t=0,$A and $B$ are $3200$ ft apart, their speeds are $v_A=67m\frac{i}{h}$ and $v_B=38m\frac{i}{h},$ and they are at points $P$ and $Q,$ respectively. A passes point $Q40s$ after $B$ was there and $B$ passes point $P42s$ after A was there.