Yes there are things that travel about 350 MPH an beyond, for example aircraft can get to speeds well over 1000 MPH and at the Bonneville Salt Flats in Northwestern Utah, race cars have been breaking the 300 MPH mark since 1935 and now high speed race cars can travel in excess of over 600 mph.
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Average speed is usually a unit rate. So, if you travel 350 miles in 1 hour then that is said"350 miles per hour."
If it flies at 350 miles per hour, then in three hours it will fly 350*3 or 1050 miles.
350 miles divided by 5 hours is 70 miles per hour. 350 mi / 5hr = 70 mi/hr
100 miles per hour.
Average speed = Total Distance/Total Time = 350/3 = 116.66... km per hour.