John and Michael race over 50 metres. John runs so that it takes a seconds to run
1 metre and Michael runs so that it takes b seconds to run 1 metre. Michael wins the
race by 1 second. The next day they again race over 50 metres but Michael gives John a
3-metre start so that John runs 47 metres. Michael wins this race by 0.1 seconds. Find
the values of a and b and the speed at which Michael runs.