The rate of a bicyclist is 7 mph more than the rate of a long distance runner. The bicyclist travels 30 miles in the same amount of time it takes the runner to travel 16 miles. Find the rate of the runner.
A cyclist rode 40 miles before having a flat tire and then walking 5 miles to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 hrs. Find the rate at which the cyclist was riding.