to get some exercises and have fun travelling
You have been travelling is correct. You would never say you have been on travelling, although for poetic emphasis you could say you have been travelling on.
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It's not about "better", it's about "different". Pick whichever you think is more fun. A longboard is easier to store when you're not riding it, and easier to bring with you when travelling.
That would depend on where in the world you are measuring or travelling from, and if you are travelling, it would depend on what way you were travelling.
No, a photon is not time travelling
Sometimes we travel for the fun of travelling, and other times we travel because there is somewhere else that we need to be. Both are legitimate.
BUS-ING
Travelling with Pets was created in 2007.
The Travelling Players was created in 1975.
Travelling long distances and travelling the pacific ocean, travelling up river etc.
You would be travelling south.