Uptake of L-rhamnose across the cytoplasmic membrane with the concomitant transport of protons into the cell (symport system) (PubMed:2283027, PubMed:1551902, PubMed:8384447). Can also transport L-mannose and L-lyxose, but at reduced rates (PubMed:8384447, PubMed:1650346). H(+)(in) + L-rhamnopyranose(in) = H(+)(out) + L-rhamnopyranose(out) H(+)(in) + L-mannopyranose(in) = H(+)(out) + L-mannopyranose(out) H(+)(in) + L-lyxopyranose(in) = H(+)(out) + L-lyxopyranose(out) Inhibited by protonophores and ionophores, but is insensitive to the thiol reagent N-ethylmaleimide or cytochalasin B. Optimum pH is 7 for L-rhamnose transport. Induced by L-rhamnose via the RhaR-RhaS regulatory cascade (PubMed:8757746). Also induced by L-mannose or L-lyxose (PubMed:1650346, PubMed:8757746). Belongs to the L-rhamnose transporter (TC 2.A.7.6) family.