Coding C++ (mostly) in header files vs .cpp files

For years I've been coding C++ in the standard way, with class declarations in header files .hpp and the function definitions in source .cpp files. Recently I moved to a new company where the code (seemingly influenced by boost coding styles) is entirely coded in .hpp files with one short .cpp file to include the header files and create the object/program binary. It got me thinking - what are the strengths/weaknesses of writing your code in header files as opposed to writing a .hpp & .cpp file for each object? This assumes our project doesn't create common libraries that are then linked into the program binaries, but instead each program binary is built from the sum of the header files (and one source .cpp file). Is this a new trend in C++? E.g. Template objects need to be header only, but it could seem a good idea to put non-template classes into header files and then simply include these common project classes in your binary(s). Assuming you're creating a new codebase from scratch, would it mean less linking, which might mean less linking errors and possibly faster builds. Would pre-compiled headers facilities also mean using header files speeds up build time? Or are build times longer because we now need to compile all code when creating a binary rather than linking common shared library objects? Also note we're not writing an API here (in which case something like the pimpl idiom would give us more flexibility by hiding implementation), we're writing programs to run on a customer site. Thanks in advance,