A member of the New English Art Club from 1898. His study of art began when he was eight, as a self-taught student impressed by the examples of Turner, Old Crome, and Constable at the National Gallery. His professional art career started as a heraldic painter from 1870-1890. He studied briefly at the Westminster School of Art. But it was his six years of drawing from classical casts and from nature at the Slade School of Art, starting in 1890, which led him to his love of landscape and watercolour. He studied first under Alphonse Legros and subsequently under Professor Fred Brown.
He was influenced by the watercolour techniques of Thomas Girtin, John Sell Cotman and Peter De Wint, especially their use of the rich blooms produced by applying a full wash and allowing it to dry undisturbed. But whilst he referred to the earlier school of watercolourists his works are all his own and were created as much as reaction to French Impressionism but with a peculiarly English slant. As Rich and a number of his contemporaries pointed out (including Roger Fry and Lawrence Binyon) the English watercolour tradition was what had inspired much of the spontaneity of Impressionism in the first place and was where the English artistic tradition could claim to have inspired some great originality. Rich was an advocate of a natural approach to painting, trying to capture the emotion that a subject provoked, rather than simply repoducing a scene. He had little feeling towards what he termed "exhibition pieces", which he viewed as being overworked. He was critical towards even some of the greatest masters who he believed were often guilty of marring their work by polishing over the traces of their original responses to a scene. He also disliked "pretty pictures", a term which he used to refer to the quaint works produced by some of his contemporaries and used this term as a thinly veiled criticism of the work of Helen Allingham.
Rich's first public exhibitions were at his studio in Croydon in 1896, followed by showings at the New English Art Club, the Piccadilly Egyptian Hall, the Alpine Club, the Carfax Gallery, the Leicester Galleries and Walker's Galleries. He worked on the Selecting Jury of the NEAC from 1904, and was elected to the Council of the International Society of Sculptors, Painters & Gravers in 1913. He taught and travelled with groups of students, always encouraging them to draw and paint directly from nature rather than copying from classic paintings (contrary to other schools of teaching which emphasized the work of the masters). He eschewed studio work and easels, preferring to work with stretched paper on a board held flat on his knees, seated in a camp chair.
His book Watercolour Painting, 1918 was published as part of the popular New Art Library and remained in print for nearly 50 years as a standard work on the subject. After his death, Walker's Galleries held a retrospective in 1923 and Manchester City Art Gallery a memorial exhibition in 1928. A scholarship in his name was established at the Slade School in 1934 and this is still awarded annually.