Problem #24: Bar Flies
At the same instant that Pete was leaving Harry's Bar to go to the Shamrock
Tavern, Johnny was leaving the Shamrock Tavern to go
to Harry's Bar. They walked at a constant speed. When they met,
Pete announced that he had covered 200 meters more than Johnny had.
The latter, his mind befuddled by alcohol, took this as a personal insult
and started to beat up Pete, who returned the punches. When the fighting stopped, the men embraced in tears, then each continued his original journey,
but at half his original speed, as both were slightly hurt.
Pete thus arrived at the Shamrock Tavern in 8 minutes while Johnny took 18
minutes to get to Harry's Bar. How far apart are the two bars.