  In the wounded nucleon model, a proton-nucleus (p+A) collision is a
superposition of independent nucleon-nucleon collisions. We use this model to
calculate the average transverse momentum of pions, kaons and protons in high
energy p+A collisions. For the same number of produced particles, because the
number of participants differs, in the wounded nucleon model the transverse
momentum of hadrons can differ between p+p and p+A collisions. In this model we
find that the average transverse momentum in high multiplicity p+A collisions
depends weakly on the number of produced particles, and underestimates the
preliminary experimental data at the LHC. The difference is small for pions and
greater for kaons and protons. The magnitude of this difference is consistent
with hydrodynamic expectations.
