Data obtained on the IN-LUE photoneutron source at the Russian Academy of Sciences’ Institute for Nuclear Research are analyzed. The data are acquired using a position-sensitive neutron detector with an active 10B layer and a 3He SNM-18 counter. The efficiency of the 10B detector relative to the 3He counter ranges from 2 to 4% for different modes of accelerator operation. Waveforms of the 3He counter’s pulses are recorded using a built-in L-CARD L-783 multifunctional high speed signal processor with sampling frequencies of up to 3 MHz. The amplitude and time spectra of thermal neutrons are obtained from the waveforms using induced electromagnetic signals from the accelerator dump and neutron pulses. Using a cadmium mask with slits and a position-sensitive detector with a low (<10−7) sensitivity to electromagnetic interference and the gamma-ray background allows the spatial resolution of the10B detector to be determined and the contribution from neutrons with different energies to b estimated.